Asuke, Taro On a characteristic class associated with deformations of foliations. (English) Zbl 07658550 Int. J. Math. 34, No. 2, Article ID 2350003, 12 p. (2023). Reviewer: Shigeaki Miyoshi (Tokyo) MSC: 57R30 58H10 37F75 PDF BibTeX XML Cite \textit{T. Asuke}, Int. J. Math. 34, No. 2, Article ID 2350003, 12 p. (2023; Zbl 07658550) Full Text: DOI arXiv OpenURL
Lackman, Joshua Cohomology of Lie groupoid modules and the generalized van Est map. (English) Zbl 07570169 Int. Math. Res. Not. 2022, No. 15, 11484-11538 (2022). Reviewer: Dahye Cho (Seoul) MSC: 53D17 18F20 58H10 PDF BibTeX XML Cite \textit{J. Lackman}, Int. Math. Res. Not. 2022, No. 15, 11484--11538 (2022; Zbl 07570169) Full Text: DOI arXiv OpenURL
Matsumoto, Kengo Cohomology groups, continuous full groups and continuous orbit equivalence of topological Markov shifts. (English) Zbl 1495.37010 Discrete Contin. Dyn. Syst. 42, No. 2, 841-862 (2022). Reviewer: Gabor Szabo (Leuven) MSC: 37A55 37A20 37B05 46L35 20J06 58H10 PDF BibTeX XML Cite \textit{K. Matsumoto}, Discrete Contin. Dyn. Syst. 42, No. 2, 841--862 (2022; Zbl 1495.37010) Full Text: DOI arXiv OpenURL
Asuke, Taro On the Fuks-Lodder-Kotschick class for deformations of foliations. (English) Zbl 1494.57053 Walczak, Szymon (ed.), Proceedings of the contemporary mathematics in Kielce 2020, Kielce, Poland, February 24–27, 2021. Warsaw: De Gruyter/Sciendo. 1-15 (2021). Reviewer: Jesus A. Álvarez López (Santiago de Compostela) MSC: 57R30 58H10 37F75 PDF BibTeX XML Cite \textit{T. Asuke}, in: Proceedings of the contemporary mathematics in Kielce 2020, Kielce, Poland, February 24--27, 2021. Warsaw: De Gruyter/Sciendo. 1--15 (2021; Zbl 1494.57053) Full Text: DOI OpenURL
Lin, Dexie Seiberg-Witten equation on a manifold with rank-\(2\) foliation. (English) Zbl 1486.53036 Proc. Am. Math. Soc. 149, No. 10, 4411-4417 (2021). Reviewer: Costache Apreutesei (Iaşi) MSC: 53C12 58H10 57R57 PDF BibTeX XML Cite \textit{D. Lin}, Proc. Am. Math. Soc. 149, No. 10, 4411--4417 (2021; Zbl 1486.53036) Full Text: DOI arXiv OpenURL
Gorokhovsky, Alexander; de Kleijn, Niek; Nest, Ryszard Equivariant algebraic index theorem. (English) Zbl 1475.58015 J. Inst. Math. Jussieu 20, No. 3, 929-955 (2021). Reviewer: Adela-Gabriela Mihai (Bucureşti) MSC: 58J20 53D55 58J22 46L87 19K56 58H10 55U10 PDF BibTeX XML Cite \textit{A. Gorokhovsky} et al., J. Inst. Math. Jussieu 20, No. 3, 929--955 (2021; Zbl 1475.58015) Full Text: DOI arXiv OpenURL
Ayoub, Joseph \(\mathbb{P}^1\)-localization and an arithmetic Kodaira-Spencer class. (\(\mathbb{P}^1\)-localisation et une classe de Kodaira-Spencer arithmétique.) (French) Zbl 1474.14008 Tunis. J. Math. 3, No. 2, 259-308 (2021). MSC: 14A30 14F10 14F40 14F42 14G25 14F06 PDF BibTeX XML Cite \textit{J. Ayoub}, Tunis. J. Math. 3, No. 2, 259--308 (2021; Zbl 1474.14008) Full Text: DOI OpenURL
Meigniez, Gaël Quasicomplementary foliations and the Mather-Thurston theorem. (English) Zbl 1470.57049 Geom. Topol. 25, No. 2, 643-710 (2021). Reviewer: Jesus A. Álvarez López (Santiago de Compostela) MSC: 57R30 57R32 58H10 PDF BibTeX XML Cite \textit{G. Meigniez}, Geom. Topol. 25, No. 2, 643--710 (2021; Zbl 1470.57049) Full Text: DOI arXiv OpenURL
Kruglikov, Boris; Santi, Andrea; The, Dennis \(G(3)\)-supergeometry and a supersymmetric extension of the Hilbert-Cartan equation. (English) Zbl 1457.17013 Adv. Math. 376, Article ID 107420, 99 p. (2021). MSC: 17B25 17B56 58A50 PDF BibTeX XML Cite \textit{B. Kruglikov} et al., Adv. Math. 376, Article ID 107420, 99 p. (2021; Zbl 1457.17013) Full Text: DOI arXiv OpenURL
Cattafi, Francesco; Crainic, Marius; Salazar, Maria Amelia From PDEs to Pfaffian fibrations. (English) Zbl 1468.58001 Enseign. Math. (2) 66, No. 1-2, 187-250 (2020). Reviewer: Benjamin McKay (Cork) MSC: 58A20 58A15 58A10 58A30 PDF BibTeX XML Cite \textit{F. Cattafi} et al., Enseign. Math. (2) 66, No. 1--2, 187--250 (2020; Zbl 1468.58001) Full Text: DOI arXiv OpenURL
Bath, Daniel Bernstein-Sato varieties and annihilation of powers. (English) Zbl 1460.14048 Trans. Am. Math. Soc. 373, No. 12, 8543-8582 (2020). Reviewer: Alberto Castaño Domínguez (Sevilla) MSC: 14F10 32S40 32S05 32S22 32C38 PDF BibTeX XML Cite \textit{D. Bath}, Trans. Am. Math. Soc. 373, No. 12, 8543--8582 (2020; Zbl 1460.14048) Full Text: DOI arXiv OpenURL
Altinay-Ozaslan, Elif; Dolgushev, Vasily Towards deformation quantization over a \(\mathbb Z\)-graded base. (English) Zbl 1418.53090 J. Noncommut. Geom. 13, No. 1, 227-256 (2019). Reviewer: Andrew Bucki (Edmond) MSC: 53D55 18G55 PDF BibTeX XML Cite \textit{E. Altinay-Ozaslan} and \textit{V. Dolgushev}, J. Noncommut. Geom. 13, No. 1, 227--256 (2019; Zbl 1418.53090) Full Text: DOI arXiv OpenURL
de Medeiros, Paul; Figueroa-O’Farrill, José; Santi, Andrea Killing superalgebras for Lorentzian six-manifolds. (English) Zbl 1398.58006 J. Geom. Phys. 132, 13-44 (2018). MSC: 58H10 PDF BibTeX XML Cite \textit{P. de Medeiros} et al., J. Geom. Phys. 132, 13--44 (2018; Zbl 1398.58006) Full Text: DOI arXiv OpenURL
Hurder, Steven; Langevin, Rémi Dynamics and the Godbillon-Vey class of \(C^1\) foliations. (English) Zbl 1418.37048 J. Math. Soc. Japan 70, No. 2, 423-462 (2018). Reviewer: Vagn Lundsgaard Hansen (Lyngby) MSC: 37C85 37C75 32S65 57R30 57R32 58H10 PDF BibTeX XML Cite \textit{S. Hurder} and \textit{R. Langevin}, J. Math. Soc. Japan 70, No. 2, 423--462 (2018; Zbl 1418.37048) Full Text: DOI arXiv Euclid OpenURL
Kasagawa, Ryoji A second cohomology class of the symplectomorphism group with the discrete topology. (English) Zbl 1385.57027 Algebr. Geom. Topol. 18, No. 1, 187-219 (2018). Reviewer: Andrew Bucki (Edmond) MSC: 57R17 57R50 55R40 58H10 PDF BibTeX XML Cite \textit{R. Kasagawa}, Algebr. Geom. Topol. 18, No. 1, 187--219 (2018; Zbl 1385.57027) Full Text: DOI OpenURL
Tang, Xiang; Willett, Rufus; Yao, Yijun Coarse groupoid cohomology and Connes-Chern character. (Chinese. English summary) Zbl 1499.58014 Sci. Sin., Math. 47, No. 12, 1879-1890 (2017). MSC: 58H10 58B34 PDF BibTeX XML Cite \textit{X. Tang} et al., Sci. Sin., Math. 47, No. 12, 1879--1890 (2017; Zbl 1499.58014) Full Text: DOI OpenURL
Morita, Shigeyuki A few open problems on characteristic classes of foliations. (English) Zbl 1391.58007 Asuke, Taro (ed.) et al., Geometry, dynamics, and foliations 2013. In honor of Steven Hurder and Takashi Tsuboi on the occasion of their 60th birthdays. Based on the conferences held in Tokyo, Japan, ‘Geometry and Foliations 2013’, September 9–14, 2013, ‘Geometry and Dynamics 2013’, September 15–16, 2013 and ‘B\(\Gamma\) School II’, September 17–19, 2013. Tokyo: Mathematical Society of Japan (MSJ) (ISBN 978-4-86497-040-2/hbk). Advanced Studies in Pure Mathematics 72, 221-237 (2017). Reviewer: Vagn Lundsgaard Hansen (Lyngby) MSC: 58H10 57R32 57R20 PDF BibTeX XML Cite \textit{S. Morita}, Adv. Stud. Pure Math. 72, 221--237 (2017; Zbl 1391.58007) OpenURL
Mizutani, Tadayoshi; Asuke, Taro On Thurston’s construction of a surjective homomorphism \(H_{2n + 1} (B{\Gamma}_n, {\mathbb Z}) \rightarrow {\mathbb R}\). (English) Zbl 1393.57017 Asuke, Taro (ed.) et al., Geometry, dynamics, and foliations 2013. In honor of Steven Hurder and Takashi Tsuboi on the occasion of their 60th birthdays. Based on the conferences held in Tokyo, Japan, ‘Geometry and Foliations 2013’, September 9–14, 2013, ‘Geometry and Dynamics 2013’, September 15–16, 2013 and ‘B\(\Gamma\) School II’, September 17–19, 2013. Tokyo: Mathematical Society of Japan (MSJ) (ISBN 978-4-86497-040-2/hbk). Advanced Studies in Pure Mathematics 72, 211-219 (2017). MSC: 57R20 58H10 57R30 57R32 58H15 PDF BibTeX XML Cite \textit{T. Mizutani} and \textit{T. Asuke}, Adv. Stud. Pure Math. 72, 211--219 (2017; Zbl 1393.57017) OpenURL
Huzak, Renato Normal forms of Liénard type for analytic unfoldings of nilpotent singularities. (English) Zbl 1378.37086 Proc. Am. Math. Soc. 145, No. 10, 4325-4336 (2017). Reviewer: Mohamed Selmi (Sousse-Riadh) MSC: 37G05 34M45 32G05 58H10 58H15 PDF BibTeX XML Cite \textit{R. Huzak}, Proc. Am. Math. Soc. 145, No. 10, 4325--4336 (2017; Zbl 1378.37086) Full Text: DOI Link OpenURL
Asuke, Taro Notes on ‘Infinitesimal derivative of the Bott class and the Schwarzian derivatives’. (English) Zbl 1414.32029 Tohoku Math. J. (2) 69, No. 1, 129-139 (2017). Reviewer: Le Anh Vu (Ho Chi Minh City) MSC: 32S65 58H10 53B10 58H15 53C12 57R30 PDF BibTeX XML Cite \textit{T. Asuke}, Tôhoku Math. J. (2) 69, No. 1, 129--139 (2017; Zbl 1414.32029) Full Text: DOI Euclid OpenURL
Santi, Andrea Almost CR quaternionic manifolds and their immersibility in \(\mathbb{H}\mathrm{P}^n\). (English) Zbl 1362.53065 Abh. Math. Semin. Univ. Hamb. 87, No. 1, 83-103 (2017). MSC: 53C40 53C26 32V40 PDF BibTeX XML Cite \textit{A. Santi}, Abh. Math. Semin. Univ. Hamb. 87, No. 1, 83--103 (2017; Zbl 1362.53065) Full Text: DOI arXiv OpenURL
Figueroa-O’Farrill, José; Santi, Andrea Spencer cohomology and 11-dimensional supergravity. (English) Zbl 1358.83082 Commun. Math. Phys. 349, No. 2, 627-660 (2017). MSC: 83E50 17B45 53Z05 55N20 PDF BibTeX XML Cite \textit{J. Figueroa-O'Farrill} and \textit{A. Santi}, Commun. Math. Phys. 349, No. 2, 627--660 (2017; Zbl 1358.83082) Full Text: DOI arXiv OpenURL
Santi, Andrea A generalized integrability problem for \(G\)-structures. (English) Zbl 1405.53043 Ann. Mat. Pura Appl. (4) 195, No. 5, 1463-1489 (2016). MSC: 53C10 53B25 53A55 53A30 PDF BibTeX XML Cite \textit{A. Santi}, Ann. Mat. Pura Appl. (4) 195, No. 5, 1463--1489 (2016; Zbl 1405.53043) Full Text: DOI arXiv OpenURL
Kruglikov, Boris; Lychagin, Valentin Global Lie-Tresse theorem. (English) Zbl 1347.53015 Sel. Math., New Ser. 22, No. 3, 1357-1411 (2016). MSC: 53A55 58H10 35A30 58A20 PDF BibTeX XML Cite \textit{B. Kruglikov} and \textit{V. Lychagin}, Sel. Math., New Ser. 22, No. 3, 1357--1411 (2016; Zbl 1347.53015) Full Text: DOI arXiv OpenURL
Figueroa-O’Farrill, José; Santi, Andrea Eleven-dimensional supergravity from filtered subdeformations of the Poincaré superalgebra. (English) Zbl 1346.83061 J. Phys. A, Math. Theor. 49, No. 29, Article ID 295204, 7 p. (2016). MSC: 83E50 83E15 17A70 PDF BibTeX XML Cite \textit{J. Figueroa-O'Farrill} and \textit{A. Santi}, J. Phys. A, Math. Theor. 49, No. 29, Article ID 295204, 7 p. (2016; Zbl 1346.83061) Full Text: DOI arXiv OpenURL
Becker, Christian Cheeger-Chern-Simons theory and differential string classes. (English) Zbl 1342.81396 Ann. Henri Poincaré 17, No. 6, 1529-1594 (2016). Reviewer: Gabor Etesi (Budapest) MSC: 81T30 81T10 58J28 17B56 58H10 57R15 55R40 PDF BibTeX XML Cite \textit{C. Becker}, Ann. Henri Poincaré 17, No. 6, 1529--1594 (2016; Zbl 1342.81396) Full Text: DOI arXiv OpenURL
Yumaguzhin, V. Geometric structures on solutions of equations of adiabatic gas motion. (English) Zbl 1338.53048 Lobachevskii J. Math. 37, No. 1, 87-100 (2016). MSC: 53B50 53B05 76N15 35Q99 PDF BibTeX XML Cite \textit{V. Yumaguzhin}, Lobachevskii J. Math. 37, No. 1, 87--100 (2016; Zbl 1338.53048) Full Text: DOI OpenURL
Honegger, Reinhard; Rieckers, Alfred Photons in Fock space and beyond. Vol. I: From classical to quantized radiation systems. Vol. II: Quantized mesoscopic radiation models. Vol. III: Mathematics for photon fields. (English) Zbl 1381.81005 Hackensack, NJ: World Scientific (ISBN 978-981-4618-83-0/vol.1; 978-981-4618-86-1/vol.2; 978-981-4618-89-2/vol.3; 978-981-4618-82-3/set; 978-981-4696-57-9/ebook). xxxvii, 2084, L p. (2015). Reviewer: Daniel A. Dubin (Milton Keynes) MSC: 81-02 81V10 78A25 70S05 81S30 47B25 81S20 81V80 57R32 58H10 81T70 46L60 82D20 PDF BibTeX XML Cite \textit{R. Honegger} and \textit{A. Rieckers}, Photons in Fock space and beyond. Vol. I: From classical to quantized radiation systems. Vol. II: Quantized mesoscopic radiation models. Vol. III: Mathematics for photon fields. Hackensack, NJ: World Scientific (2015; Zbl 1381.81005) Full Text: DOI OpenURL
Moscovici, Henri Geometric construction of Hopf cyclic characteristic classes. (English) Zbl 1397.57047 Adv. Math. 274, 651-680 (2015). MSC: 57R32 16E40 16T05 17B56 19D55 58H10 58J22 PDF BibTeX XML Cite \textit{H. Moscovici}, Adv. Math. 274, 651--680 (2015; Zbl 1397.57047) Full Text: DOI arXiv OpenURL
Li-Bland, David; Meinrenken, Eckhard On the Van Est homomorphism for Lie groupoids. (English) Zbl 1337.55017 Enseign. Math. (2) 61, No. 1-2, 93-137 (2015). Reviewer: Haruo Minami (Nara) MSC: 55R40 58H10 22A22 53D17 57R20 PDF BibTeX XML Cite \textit{D. Li-Bland} and \textit{E. Meinrenken}, Enseign. Math. (2) 61, No. 1--2, 93--137 (2015; Zbl 1337.55017) Full Text: DOI arXiv OpenURL
Asuke, Taro Derivatives of secondary classes and 2-normal bundles of foliations. (English) Zbl 1369.58013 J. Math. Sci., Tokyo 22, No. 3, 893-937 (2015). Reviewer: Robert A. Wolak (Kraków) MSC: 58H10 57R30 57R32 58H15 32L05 PDF BibTeX XML Cite \textit{T. Asuke}, J. Math. Sci., Tokyo 22, No. 3, 893--937 (2015; Zbl 1369.58013) Full Text: Link OpenURL
Smith, Abraham D. Constructing involutive tableaux with Guillemin normal form. (English) Zbl 1327.58005 SIGMA, Symmetry Integrability Geom. Methods Appl. 11, Paper 053, 14 p. (2015). MSC: 58A15 58H10 PDF BibTeX XML Cite \textit{A. D. Smith}, SIGMA, Symmetry Integrability Geom. Methods Appl. 11, Paper 053, 14 p. (2015; Zbl 1327.58005) Full Text: DOI arXiv EMIS OpenURL
Wang, Shuguang A higher dimensional foliated Donaldson theory. I. (English) Zbl 1335.57043 Asian J. Math. 19, No. 3, 527-554 (2015). Reviewer: David Auckly (Manhattan) MSC: 57R57 53C12 58H10 PDF BibTeX XML Cite \textit{S. Wang}, Asian J. Math. 19, No. 3, 527--554 (2015; Zbl 1335.57043) Full Text: DOI arXiv OpenURL
Asuke, Taro Transverse projective structures of foliations and infinitesimal derivatives of the Godbillon-Vey class. (English) Zbl 1325.58009 Int. J. Math. 26, No. 4, Article ID 1540001, 29 p. (2015). Reviewer: Le Anh Vu (Ho Chi Minh City) MSC: 58H10 58H15 53C12 53C15 PDF BibTeX XML Cite \textit{T. Asuke}, Int. J. Math. 26, No. 4, Article ID 1540001, 29 p. (2015; Zbl 1325.58009) Full Text: DOI OpenURL
Crainic, Marius; Salazar, Maria Amelia; Struchiner, Ivan Multiplicative forms and Spencer operators. (English) Zbl 1408.58015 Math. Z. 279, No. 3-4, 939-979 (2015). MSC: 58H05 53C10 58H10 PDF BibTeX XML Cite \textit{M. Crainic} et al., Math. Z. 279, No. 3--4, 939--979 (2015; Zbl 1408.58015) Full Text: DOI arXiv OpenURL
Crainic, Marius; Salazar, María Amelia Jacobi structures and Spencer operators. (English. French summary) Zbl 1316.58014 J. Math. Pures Appl. (9) 103, No. 2, 504-521 (2015). Reviewer: M. Habil Gürsoy (Malatya) MSC: 58H05 53D35 53D10 53D17 58H10 58A17 PDF BibTeX XML Cite \textit{M. Crainic} and \textit{M. A. Salazar}, J. Math. Pures Appl. (9) 103, No. 2, 504--521 (2015; Zbl 1316.58014) Full Text: DOI arXiv OpenURL
Arias Abad, Camilo; Crainic, Marius Representations up to homotopy and Bott’s spectral sequence for Lie groupoids. (English) Zbl 1284.55018 Adv. Math. 248, 416-452 (2013). Reviewer: Cenap Özel (Bolu) MSC: 55R35 55T05 58H10 PDF BibTeX XML Cite \textit{C. Arias Abad} and \textit{M. Crainic}, Adv. Math. 248, 416--452 (2013; Zbl 1284.55018) Full Text: DOI arXiv OpenURL
Kruglikov, Boris Lie theorem via rank 2 distributions (integration of PDE of class \(\omega = 1\)). (English) Zbl 1255.35175 J. Nonlinear Math. Phys. 19, No. 2, 1250011, 24 p. (2012). Reviewer: Werner M. Seiler (Kassel) MSC: 35N99 58H10 58J72 PDF BibTeX XML Cite \textit{B. Kruglikov}, J. Nonlinear Math. Phys. 19, No. 2, 1250011, 24 p. (2012; Zbl 1255.35175) Full Text: DOI arXiv OpenURL
Kruglikov, Boris Laplace transformation of Lie class \(\omega = 1\) overdetermined systems. (English) Zbl 1243.35007 J. Nonlinear Math. Phys. 18, No. 4, 583-611 (2011). Reviewer: Werner M. Seiler (Kassel) MSC: 35A22 35N05 58H10 58J72 PDF BibTeX XML Cite \textit{B. Kruglikov}, J. Nonlinear Math. Phys. 18, No. 4, 583--611 (2011; Zbl 1243.35007) Full Text: DOI arXiv OpenURL
Fox, Daniel; Goertsches, Oliver Higher-order conservation laws for the nonlinear Poisson equation via characteristic cohomology. (English) Zbl 1233.35073 Sel. Math., New Ser. 17, No. 4, 795-831 (2011). MSC: 35J05 58A15 58H10 PDF BibTeX XML Cite \textit{D. Fox} and \textit{O. Goertsches}, Sel. Math., New Ser. 17, No. 4, 795--831 (2011; Zbl 1233.35073) Full Text: DOI arXiv OpenURL
Arnold, V. I. Topological properties of eigenoscillations in mathematical physics. (English. Russian original) Zbl 1229.35220 Proc. Steklov Inst. Math. 273, 25-34 (2011); translation from Tr. Mat. Inst. Steklova 273, 30-40 (2011). Reviewer: M. Marin (Brasov) MSC: 35Q40 16P90 58H10 81R10 81R50 PDF BibTeX XML Cite \textit{V. I. Arnold}, Proc. Steklov Inst. Math. 273, 25--34 (2011; Zbl 1229.35220); translation from Tr. Mat. Inst. Steklova 273, 30--40 (2011) Full Text: DOI OpenURL
Walczak, Szymon M. Hausdorff leaf spaces for foliations of codimension one. (English) Zbl 1270.57070 J. Math. Soc. Japan 63, No. 2, 473-502 (2011). Reviewer: Costache Apreutesei (Iaşi) MSC: 57R32 53C23 58H10 PDF BibTeX XML Cite \textit{S. M. Walczak}, J. Math. Soc. Japan 63, No. 2, 473--502 (2011; Zbl 1270.57070) Full Text: DOI OpenURL
Pflaum, M. J.; Posthuma, H. B.; Tang, X.; Tseng, H.-H. Orbifold cup products and ring structures on Hochschild cohomologies. (English) Zbl 1230.57023 Commun. Contemp. Math. 13, No. 1, 123-182 (2011). Reviewer: Haruo S. Suzuki (Sapporo) MSC: 57R18 58H10 16E40 55N32 PDF BibTeX XML Cite \textit{M. J. Pflaum} et al., Commun. Contemp. Math. 13, No. 1, 123--182 (2011; Zbl 1230.57023) Full Text: DOI arXiv OpenURL
Ben Ammar, Mabrouk; Ben Fraj, Nizar; Omri, Salem The binary invariant differential operators on weighted densities on the superspace \(\mathbb{R}^{1 \mid n}\) and cohomology. (English) Zbl 1310.17011 J. Math. Phys. 51, No. 4, 043504, 15 p. (2010). MSC: 17B56 17B66 17A70 58H10 47E05 46S60 PDF BibTeX XML Cite \textit{M. Ben Ammar} et al., J. Math. Phys. 51, No. 4, 043504, 15 p. (2010; Zbl 1310.17011) Full Text: DOI arXiv OpenURL
Kruglikov, Boris Involutivity of field equations. (English) Zbl 1309.83016 J. Math. Phys. 51, No. 3, 032502, 16 p. (2010). MSC: 83C05 83C22 70S20 PDF BibTeX XML Cite \textit{B. Kruglikov}, J. Math. Phys. 51, No. 3, 032502, 16 p. (2010; Zbl 1309.83016) Full Text: DOI arXiv OpenURL
Ye, Xuanming The jumping phenomenon of the dimensions of cohomology groups of tangent sheaf. (English) Zbl 1240.32022 Acta Math. Sci., Ser. B, Engl. Ed. 30, No. 5, 1746-1758 (2010). MSC: 32G05 32L10 PDF BibTeX XML Cite \textit{X. Ye}, Acta Math. Sci., Ser. B, Engl. Ed. 30, No. 5, 1746--1758 (2010; Zbl 1240.32022) Full Text: DOI arXiv OpenURL
Kruglikov, Boris; Lychagin, Valentin Compatibility, multi-brackets and integrability of systems of PDEs. (English) Zbl 1191.35187 Acta Appl. Math. 109, No. 1, 151-196 (2010). MSC: 35N10 58A20 58H10 35A30 PDF BibTeX XML Cite \textit{B. Kruglikov} and \textit{V. Lychagin}, Acta Appl. Math. 109, No. 1, 151--196 (2010; Zbl 1191.35187) Full Text: DOI arXiv OpenURL
Seiler, Werner M. Involution. The formal theory of differential equations and its applications in computer algebra. (English) Zbl 1205.35003 Algorithms and Computation in Mathematics 24. Berlin: Springer (ISBN 978-3-642-01286-0/hbk; 978-3-642-01287-7/ebook). xxii, 650 p. (2010). Reviewer: Boris S. Kruglikov (Tromsø) MSC: 35-02 13-02 13P10 13P20 35-04 68W30 PDF BibTeX XML Cite \textit{W. M. Seiler}, Involution. The formal theory of differential equations and its applications in computer algebra. Berlin: Springer (2010; Zbl 1205.35003) Full Text: DOI Backlinks: MO OpenURL
Lychagin, V.; Yumaguzhin, V. On geometric structures of 2-dimensional gas dynamics equations. (English) Zbl 1225.35010 Lobachevskii J. Math. 30, No. 4, 327-332 (2009). MSC: 35A30 35L40 53A55 53C15 58A20 58A32 76N15 35L60 PDF BibTeX XML Cite \textit{V. Lychagin} and \textit{V. Yumaguzhin}, Lobachevskii J. Math. 30, No. 4, 327--332 (2009; Zbl 1225.35010) Full Text: DOI OpenURL
Kruglikov, Boris; Lychagin, Valentin Differential invariants of the motion group actions. (English) Zbl 1208.58023 Krupková, Olga (ed.) et al., Variations, geometry and physics. In honour of Demeter Krupka’s sixty-fifth birthday. Including papers from the colloquium held in Olomouc, Czech Republic, August 25–26, 2007. New York, NY: Nova Science Publishers (ISBN 978-1-60456-920-9). 237-251 (2009). MSC: 58H10 35N10 58J70 58A20 PDF BibTeX XML Cite \textit{B. Kruglikov} and \textit{V. Lychagin}, in: Variations, geometry and physics. In honour of Demeter Krupka's sixty-fifth birthday. Including papers from the colloquium held in Olomouc, Czech Republic, August 25--26, 2007. New York, NY: Nova Science Publishers. 237--251 (2009; Zbl 1208.58023) Full Text: arXiv OpenURL
Veloso, Jose Miguel Martins Isomorphism of intransitive linear Lie equations. (English) Zbl 1194.58019 SIGMA, Symmetry Integrability Geom. Methods Appl. 5, Paper 103, 40 p. (2009). Reviewer: Ivan Kolář (Brno) MSC: 58H05 58H10 PDF BibTeX XML Cite \textit{J. M. M. Veloso}, SIGMA, Symmetry Integrability Geom. Methods Appl. 5, Paper 103, 40 p. (2009; Zbl 1194.58019) Full Text: DOI arXiv EuDML EMIS OpenURL
Alonso, R. J.; Jimènez, S.; Rodríguez, J. Some canonical structures of Cartan planes in jet spaces and applications. (English) Zbl 1187.58004 Kruglikov, Boris (ed.) et al., Differential equations – Geometry, symmetries and integrability. The Abel symposium 2008. Proceedings of the fifth Abel symposium, Tromsø, Norway, June 17–22, 2008. Berlin: Springer (ISBN 978-3-642-00872-6/hbk; 978-3-642-00873-3/ebook). Abel Symposia 5, 1-20 (2009). Reviewer: Boris S. Kruglikov (Tromsø) MSC: 58A20 58H10 35A30 PDF BibTeX XML Cite \textit{R. J. Alonso} et al., Abel Symp. 5, 1--20 (2009; Zbl 1187.58004) Full Text: DOI OpenURL
Hurder, Steven Classifying foliations. (English) Zbl 1183.57022 Saldanha, Nicolau C. (ed.) et al., Foliations, geometry, and topology. Paul Schweitzer Festschrift. Conference in honor of the 70th birthday of Paul Schweitzer, S. J., Rio de Janeiro, Brazil, August 6–10, 2007. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4628-5/pbk). Contemporary Mathematics 498, 1-65 (2009). Reviewer: Nicolai K. Smolentsev (Kemerovo) MSC: 57R32 53C12 57R20 58H10 58H05 37C85 37A35 57R30 PDF BibTeX XML Cite \textit{S. Hurder}, Contemp. Math. 498, 1--65 (2009; Zbl 1183.57022) Full Text: arXiv OpenURL
Xie, Zheng; Li, Hongbo Formal integrability criteria for nonlinear partial difference equations. (English) Zbl 1183.39006 Acta Appl. Math. 108, No. 2, 279-297 (2009). Reviewer: Christian Pötzsche (München) MSC: 39A14 58A15 37K10 PDF BibTeX XML Cite \textit{Z. Xie} and \textit{H. Li}, Acta Appl. Math. 108, No. 2, 279--297 (2009; Zbl 1183.39006) Full Text: DOI OpenURL
Ladilova, A. A. Filtered deformations of the Frank algebras. (English. Russian original) Zbl 1205.17019 Russ. Math. 53, No. 8, 43-45 (2009); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2009, No. 8, 53-56 (2009). Reviewer: Christopher P. Bendel (Menomonie) MSC: 17B50 17B56 17B70 PDF BibTeX XML Cite \textit{A. A. Ladilova}, Russ. Math. 53, No. 8, 43--45 (2009; Zbl 1205.17019); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2009, No. 8, 53--56 (2009) Full Text: DOI OpenURL
Schroeder, Timothy A. Geometrization of 3-dimensional Coxeter orbifolds and Singer’s conjecture. (English) Zbl 1210.57020 Geom. Dedicata 140, 163-174 (2009). Reviewer: Shawn Rafalski (Fairfield) MSC: 57M99 57R18 20F55 20J05 55N35 58H10 PDF BibTeX XML Cite \textit{T. A. Schroeder}, Geom. Dedicata 140, 163--174 (2009; Zbl 1210.57020) Full Text: DOI arXiv OpenURL
Kaminker, Jerome; Tang, Xiang Hopf algebroids and secondary characteristic classes. (English) Zbl 1173.46054 J. Noncommut. Geom. 3, No. 1, 1-25 (2009). Reviewer: Marta Macho Stadler (Leioa) MSC: 46L87 58H10 PDF BibTeX XML Cite \textit{J. Kaminker} and \textit{X. Tang}, J. Noncommut. Geom. 3, No. 1, 1--25 (2009; Zbl 1173.46054) Full Text: DOI arXiv Link OpenURL
Vitolo, R. Variational sequences. (English) Zbl 1236.58029 Krupka, Demeter (ed.) et al., Handbook of global analysis. Amsterdam: Elsevier (ISBN 978-0-444-52833-9/hbk). 1115-1163 (2008). MSC: 58J10 58A20 58H10 PDF BibTeX XML Cite \textit{R. Vitolo}, in: Handbook of global analysis. Amsterdam: Elsevier. 1115--1163 (2008; Zbl 1236.58029) Full Text: DOI OpenURL
Malakhaltsev, M. A. De Rham like cohomology of geometric structures. (English) Zbl 1158.14303 Kowalski, Oldřich (ed.) et al., Differential geometry and its applications. Proceedings of the 10th international conference on differential geometry and its applications, DGA 2007, Olomouc, Czech Republic, August 27–31, 2007. Hackensack, NJ: World Scientific (ISBN 978-981-279-060-6/hbk). 501-513 (2008). MSC: 14F05 14F10 14F40 PDF BibTeX XML Cite \textit{M. A. Malakhaltsev}, in: Differential geometry and its applications. Proceedings of the 10th international conference on differential geometry and its applications, DGA 2007, Olomouc, Czech Republic, August 27--31, 2007. Hackensack, NJ: World Scientific. 501--513 (2008; Zbl 1158.14303) OpenURL
Billig, Yuly; Neeb, Karl-Hermann On the cohomology of vector fields on parallelizable manifolds. (English) Zbl 1157.17007 Ann. Inst. Fourier 58, No. 6, 1937-1982 (2008). Reviewer: Friedrich Wagemann (Nantes) MSC: 17B56 17B65 17B66 17B68 57R32 58H10 PDF BibTeX XML Cite \textit{Y. Billig} and \textit{K.-H. Neeb}, Ann. Inst. Fourier 58, No. 6, 1937--1982 (2008; Zbl 1157.17007) Full Text: DOI arXiv Numdam EuDML OpenURL
Ye, Xuanming The jumping phenomenon of Hodge numbers. (English) Zbl 1194.32007 Pac. J. Math. 235, No. 2, 379-398 (2008). MSC: 32G05 32J25 32M10 57T15 53C30 PDF BibTeX XML Cite \textit{X. Ye}, Pac. J. Math. 235, No. 2, 379--398 (2008; Zbl 1194.32007) Full Text: DOI arXiv OpenURL
Babenko, I. K.; Bogatyi, S. A. On the group of substitutions of formal power series with integer coefficients. (English. Russian original) Zbl 1152.20026 Izv. Math. 72, No. 2, 241-264 (2008); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 72, No. 2, 39-64 (2008). Reviewer: Rachel D. Camina (Cambridge) MSC: 20E18 58H10 13F25 20E07 20F05 PDF BibTeX XML Cite \textit{I. K. Babenko} and \textit{S. A. Bogatyi}, Izv. Math. 72, No. 2, 241--264 (2008; Zbl 1152.20026); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 72, No. 2, 39--64 (2008) Full Text: DOI OpenURL
Foucault, François; Toffin, Philippe Hyperelliptic curves of genus three and the Kodaira-Spencer map. (Courbes hyperelliptiques de genre trois et application de Kodaira-Spencer.) (French. English summary) Zbl 1131.14021 C. R., Math., Acad. Sci. Paris 345, No. 12, 685-687 (2007). Reviewer: Enric Nart Viñals (Barcelona) MSC: 14F40 14F10 14H10 14H45 PDF BibTeX XML Cite \textit{F. Foucault} and \textit{P. Toffin}, C. R., Math., Acad. Sci. Paris 345, No. 12, 685--687 (2007; Zbl 1131.14021) Full Text: DOI OpenURL
Seiler, Werner M. Spencer cohomology, differential equations, and Pommaret bases. (English) Zbl 1162.13013 Rosenkranz, Markus (ed.) et al., Gröbner bases in symbolic analysis. Based on talks delivered at the special semester on Gröbner bases and related methods, Linz, Austria, May 2006. Berlin: Walter de Gruyter (ISBN 978-3-11-019323-7/hbk). Radon Series on Computational and Applied Mathematics 2, 169-216 (2007). Reviewer: Doru Ştefănescu (Bucureşti) MSC: 13P10 35G20 35N99 58H10 PDF BibTeX XML Cite \textit{W. M. Seiler}, Radon Ser. Comput. Appl. Math. 2, 169--216 (2007; Zbl 1162.13013) OpenURL
Nahmod, Andrea; Shatah, Jalal; Vega, Luis; Zeng, Chongchun Schrödinger maps and their associated frame systems. (English) Zbl 1142.35087 Int. Math. Res. Not. 2007, No. 21, Article ID rnm088, 29 p. (2007). Reviewer: Viorel Iftimie (Bucureşti) MSC: 35Q55 58H10 PDF BibTeX XML Cite \textit{A. Nahmod} et al., Int. Math. Res. Not. 2007, No. 21, Article ID rnm088, 29 p. (2007; Zbl 1142.35087) Full Text: DOI arXiv OpenURL
Kruglikov, Boris; Lychagin, Valentin Spencer \(\delta\)-cohomology, restrictions, characteristics and involutive symbolic PDEs. (English) Zbl 1109.35366 Acta Appl. Math. 95, No. 1, 31-50 (2007). MSC: 35N10 58A20 58H10 35A30 PDF BibTeX XML Cite \textit{B. Kruglikov} and \textit{V. Lychagin}, Acta Appl. Math. 95, No. 1, 31--50 (2007; Zbl 1109.35366) Full Text: DOI arXiv OpenURL
Kruglikov, Boris; Lychagin, Valentin Dimension of the solutions space of PDEs. (English) Zbl 1200.35194 Calmet, J. (ed.) et al., Global integrability of field theories. Proceedings of GIFT 2006, Cockcroft Institute, Daresbury, UK, November 1–3, 2006. Karlsruhe: Universitätsverlag Karlsruhe (ISBN 3-86644-035-9/pbk). 5-25 (2006). Reviewer: Ubiratan D’Ambrosio (São Paulo) MSC: 35N10 58A20 58H10 35A30 13C14 PDF BibTeX XML Cite \textit{B. Kruglikov} and \textit{V. Lychagin}, in: Global integrability of field theories. Proceedings of GIFT 2006, Cockcroft Institute, Daresbury, UK, November 1--3, 2006. Karlsruhe: Universitätsverlag Karlsruhe. 5--25 (2006; Zbl 1200.35194) Full Text: arXiv Link OpenURL
Console, Sergio Dolbeault cohomology and deformations of nilmanifolds. (English) Zbl 1187.58024 Rev. Unión Mat. Argent. 47, No. 1, 51-60 (2006). Reviewer: Marc Nieper-Wißkirchen (Augsburg) MSC: 58H15 53B05 32G05 17B30 PDF BibTeX XML Cite \textit{S. Console}, Rev. Unión Mat. Argent. 47, No. 1, 51--60 (2006; Zbl 1187.58024) OpenURL
Kruglikov, Boris Note on two compatibility criteria: Jacobi-Mayer bracket vs. differential Gröbner basis. (English) Zbl 1117.35053 Lobachevskii J. Math. 23, 57-70 (2006). Reviewer: Jan Chrastina (Brno) MSC: 35N10 35A30 58H10 58A20 PDF BibTeX XML Cite \textit{B. Kruglikov}, Lobachevskii J. Math. 23, 57--70 (2006; Zbl 1117.35053) Full Text: EuDML EMIS OpenURL
Kruglikov, Boris; Lychagin, Valentin Invariants of pseudogroup actions: homological methods and finiteness theorem. (English) Zbl 1125.53011 Int. J. Geom. Methods Mod. Phys. 3, No. 5-6, 1131-1165 (2006). Reviewer: Raina Ivanova (Hilo) MSC: 53A55 58H10 35A30 58A20 PDF BibTeX XML Cite \textit{B. Kruglikov} and \textit{V. Lychagin}, Int. J. Geom. Methods Mod. Phys. 3, No. 5--6, 1131--1165 (2006; Zbl 1125.53011) Full Text: DOI arXiv OpenURL
Dimca, Alexandru; Saito, Morihiko A generalization of Griffiths’s theorem on rational integrals. (English) Zbl 1117.14012 Duke Math. J. 135, No. 2, 303-326 (2006). Reviewer: Aleksandr G. Aleksandrov (Moskva) MSC: 14C30 14F40 14J70 32S40 32S35 PDF BibTeX XML Cite \textit{A. Dimca} and \textit{M. Saito}, Duke Math. J. 135, No. 2, 303--326 (2006; Zbl 1117.14012) Full Text: DOI arXiv OpenURL
Kruglikov, Boris; Lychagin, Valentin Mayer brackets and solvability of PDEs. II. (English) Zbl 1093.35053 Trans. Am. Math. Soc. 358, No. 3, 1077-1103 (2006). Reviewer: Valeriy A. Yumaguzhin (Pereslavl’-Zalesskiy) MSC: 35N10 58A20 58H10 35A30 PDF BibTeX XML Cite \textit{B. Kruglikov} and \textit{V. Lychagin}, Trans. Am. Math. Soc. 358, No. 3, 1077--1103 (2006; Zbl 1093.35053) Full Text: DOI OpenURL
Abe, Kōjun; Fukui, Kazuhiko On the first homology of automorphism groups of manifolds with geometric structures. (English) Zbl 1117.57032 Cent. Eur. J. Math. 3, No. 3, 516-528 (2005). Reviewer: Akrur Behera (Rourkela) MSC: 57S05 58D05 58H10 PDF BibTeX XML Cite \textit{K. Abe} and \textit{K. Fukui}, Cent. Eur. J. Math. 3, No. 3, 516--528 (2005; Zbl 1117.57032) Full Text: DOI OpenURL
Malgrange, Bernard Involutive differential equations. (Systèmes différentiels involutifs.) (French) Zbl 1090.35003 Panoramas et Synthèses 19. Paris: Société Mathématique de France (ISBN 2-85629-178-3/pbk). vi, 106 p. (2005). Reviewer: Werner M. Seiler (Heidelberg) MSC: 35-02 35N10 12H05 58A15 PDF BibTeX XML Cite \textit{B. Malgrange}, Systèmes différentiels involutifs. Paris: Société Mathématique de France (SMF) (2005; Zbl 1090.35003) OpenURL
Kotschick, D.; Morita, S. Signatures of foliated surface bundles and the symplectomorphism groups of surfaces. (English) Zbl 1163.57304 Topology 44, No. 1, 131-149 (2005). MSC: 57R17 57R30 57R50 37E30 57M99 58H10 PDF BibTeX XML Cite \textit{D. Kotschick} and \textit{S. Morita}, Topology 44, No. 1, 131--149 (2005; Zbl 1163.57304) Full Text: DOI arXiv OpenURL
Kruglikov, B. S.; Lychagin, V. V. Transitive and transversal actions of pseudogroups on submanifolds. (English. Russian original) Zbl 1497.58012 Russ. Math. 48, No. 11, 27-40 (2004); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2004, No. 11, 30-44 (2004). MSC: 58H05 58H10 PDF BibTeX XML Cite \textit{B. S. Kruglikov} and \textit{V. V. Lychagin}, Russ. Math. 48, No. 11, 27--40 (2004; Zbl 1497.58012); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2004, No. 11, 30--44 (2004) Full Text: MNR OpenURL
Kruglikov, Boris; Lychagin, Valentin A compatibility criterion for systems of PDEs and generalized Lagrange-Charpit method. (English) Zbl 1121.58004 Taş, Kenan (ed.) et al., Global analysis and applied mathematics. Proceedings of the international workshop on global analysis, Ankara, Turkey, April 15–17, 2004. Melville, NY: American Institute of Physics (ISBN 0-7354-0209-4/hbk). AIP Conference Proceedings 729, 39-53 (2004). Reviewer: Andrew Bucki (Edmond) MSC: 58A20 58H10 35N10 35A30 PDF BibTeX XML Cite \textit{B. Kruglikov} and \textit{V. Lychagin}, AIP Conf. Proc. 729, 39--53 (2004; Zbl 1121.58004) OpenURL
Giraud, Georges; Boyom, Michel Nguiffo Truncated Lie groups and almost Klein models. (English) Zbl 1128.54021 Cent. Eur. J. Math. 2, No. 5, 884-898 (2004). Reviewer: Rainer Löwen (Braunschweig) MSC: 54H15 57S20 22E15 22E20 58H10 PDF BibTeX XML Cite \textit{G. Giraud} and \textit{M. N. Boyom}, Cent. Eur. J. Math. 2, No. 5, 884--898 (2004; Zbl 1128.54021) Full Text: DOI OpenURL
Yumaguzhin, V. A. Finite-type integrable geometric structures. (Russian. English summary) Zbl 1075.53021 Fundam. Prikl. Mat. 10, No. 1, 255-269 (2004); translation in J. Math. Sci., New York 136, No. 6, 4401-4410 (2006). Reviewer: Alexander E. Guterman (Moskva) MSC: 53C10 58H10 PDF BibTeX XML Cite \textit{V. A. Yumaguzhin}, Fundam. Prikl. Mat. 10, No. 1, 255--269 (2004; Zbl 1075.53021); translation in J. Math. Sci., New York 136, No. 6, 4401--4410 (2006) OpenURL
Cheng, Shun-Jen; Kac, Victor Addendum: Generalized Spencer cohomology and filtered deformations of \(\mathbb Z\)-graded Lie superalgebras. (English) Zbl 1094.17005 Adv. Theor. Math. Phys. 8, No. 4, 697-709 (2004). MSC: 17B56 58H10 58H15 PDF BibTeX XML Cite \textit{S.-J. Cheng} and \textit{V. Kac}, Adv. Theor. Math. Phys. 8, No. 4, 697--709 (2004; Zbl 1094.17005) Full Text: DOI Euclid OpenURL
Castro-Jiménez, F. J.; Ucha-Enríquez, J. M. Testing the logarithmic comparison theorem for free divisors. (English) Zbl 1071.14024 Exp. Math. 13, No. 4, 441-449 (2004). MSC: 14F10 14F40 32C38 68W30 13P10 PDF BibTeX XML Cite \textit{F. J. Castro-Jiménez} and \textit{J. M. Ucha-Enríquez}, Exp. Math. 13, No. 4, 441--449 (2004; Zbl 1071.14024) Full Text: DOI Euclid EuDML Link OpenURL
Yumaguzhin, V. A. On the obstruction to linearizability of second-order ordinary differential equations. (English) Zbl 1075.53015 Acta Appl. Math. 83, No. 1-2, 133-148 (2004). Reviewer: Marcela Popescu (Craiova) MSC: 53A55 34A26 34C20 37G05 PDF BibTeX XML Cite \textit{V. A. Yumaguzhin}, Acta Appl. Math. 83, No. 1--2, 133--148 (2004; Zbl 1075.53015) Full Text: DOI OpenURL
Chetverikov, V. N. A nonlinear Spencer complex for the group of invertible differential operators and its applications. (English) Zbl 1175.93103 Acta Appl. Math. 83, No. 1-2, 1-23 (2004). MSC: 93C15 58H10 93B27 PDF BibTeX XML Cite \textit{V. N. Chetverikov}, Acta Appl. Math. 83, No. 1--2, 1--23 (2004; Zbl 1175.93103) Full Text: DOI OpenURL
Jahnke, Priska; Radloff, Ivo Splitting jet sequences. (English) Zbl 1059.32004 Math. Res. Lett. 11, No. 2-3, 345-354 (2004). Reviewer: Edoardo Ballico (Povo) MSC: 32Q15 32L05 58H10 58A20 PDF BibTeX XML Cite \textit{P. Jahnke} and \textit{I. Radloff}, Math. Res. Lett. 11, No. 2--3, 345--354 (2004; Zbl 1059.32004) Full Text: DOI arXiv OpenURL
Zharinov, V. V. Cohomology of a Poisson algebra. (English) Zbl 1178.53088 Theor. Math. Phys. 136, No. 2, 1049-1065 (2003); translation from Teor. Mat. Fiz. 136, No. 2, 179-196 (2003). MSC: 53D17 17B63 58H10 PDF BibTeX XML Cite \textit{V. V. Zharinov}, Theor. Math. Phys. 136, No. 2, 1049--1065 (2003; Zbl 1178.53088); translation from Teor. Mat. Fiz. 136, No. 2, 179--196 (2003) Full Text: DOI OpenURL
Igonin, S. A. Horizontal cohomology with coefficients, and nonlinear zero-curvature representations. (English. Russian original) Zbl 1056.37081 Russ. Math. Surv. 58, No. 1, 180-182 (2003); translation from Usp. Mat. Nauk 58, No. 1, 185-186 (2003). Reviewer: Mircea Puta (Timişoara) MSC: 37K10 58H10 PDF BibTeX XML Cite \textit{S. A. Igonin}, Russ. Math. Surv. 58, No. 1, 180--182 (2003; Zbl 1056.37081); translation from Usp. Mat. Nauk 58, No. 1, 185--186 (2003) Full Text: DOI OpenURL
Asuke, Taro On the real secondary classes of transversely holomorphic foliations. II. (English) Zbl 1049.58023 Tohoku Math. J., II. Ser. 55, No. 3, 361-374 (2003). Reviewer: Eugen Pascu (Montréal) MSC: 58H10 53C12 32S65 PDF BibTeX XML Cite \textit{T. Asuke}, Tôhoku Math. J. (2) 55, No. 3, 361--374 (2003; Zbl 1049.58023) Full Text: DOI OpenURL
Asuke, Taro Complexification of foliations and complex secondary classes. (English) Zbl 1052.57041 Bull. Braz. Math. Soc. (N.S.) 34, No. 2, 251-262 (2003). Reviewer: Peter Y. H. Pang (Singapore) MSC: 57R32 58H10 37F75 PDF BibTeX XML Cite \textit{T. Asuke}, Bull. Braz. Math. Soc. (N.S.) 34, No. 2, 251--262 (2003; Zbl 1052.57041) Full Text: DOI OpenURL
Vezzosi, Gabriele; Vinogradov, Alexandre M. On higher order analogues of de Rham cohomology. (English) Zbl 1051.13012 Differ. Geom. Appl. 19, No. 1, 29-59 (2003). Reviewer: Karl-Heinz Kiyek (Paderborn) MSC: 13N10 13D25 16S32 58J10 14F40 PDF BibTeX XML Cite \textit{G. Vezzosi} and \textit{A. M. Vinogradov}, Differ. Geom. Appl. 19, No. 1, 29--59 (2003; Zbl 1051.13012) Full Text: DOI arXiv OpenURL
Yamaguchi, Keizo; Yatsui, Tomoaki Geometry of higher order differential equations of finite type associated with symmetric spaces. (English) Zbl 1048.58016 Morimoto, Tohru (ed.) et al., Lie groups, geometric structures and differential equations—one hundred years after Sophus Lie. Based on the international conference on the occasion of the centennial after the death of Sophus Lie (1842–1899), Kyoto and Nara, Japan, December 1999. Tokyo: Mathematical Society of Japan (ISBN 4-931469-21-3/hbk). Adv. Stud. Pure Math. 37, 397-458 (2002). Reviewer: Thoralf Chrobok (Berlin) MSC: 58H10 35-02 35A30 58-02 PDF BibTeX XML Cite \textit{K. Yamaguchi} and \textit{T. Yatsui}, Adv. Stud. Pure Math. 37, 397--458 (2002; Zbl 1048.58016) OpenURL
Kruglikov, Boris; Lychagin, Valentin Mayer brackets and solvability of PDEs. I. (English) Zbl 1026.35004 Differ. Geom. Appl. 17, No. 2-3, 251-272 (2002). Reviewer: Valery A.Yumaguzhin (Pereslavl’-Zalesskij) MSC: 35A30 58H10 35G20 35N10 PDF BibTeX XML Cite \textit{B. Kruglikov} and \textit{V. Lychagin}, Differ. Geom. Appl. 17, No. 2--3, 251--272 (2002; Zbl 1026.35004) Full Text: DOI OpenURL
Lambe, Larry A.; Seiler, Werner M. Differential equations, Spencer cohomology, and computing resolutions. (English) Zbl 1054.58010 Georgian Math. J. 9, No. 4, 723-774 (2002). Reviewer: Cornel Baetica (Bucureşti) MSC: 58H10 18G10 18G60 35A27 35G20 57T30 68W30 PDF BibTeX XML Cite \textit{L. A. Lambe} and \textit{W. M. Seiler}, Georgian Math. J. 9, No. 4, 723--774 (2002; Zbl 1054.58010) Full Text: EuDML OpenURL
Hausdorf, Marcus; Seiler, Werner M. An efficient algebraic algorithm for the geometric completion to involution. (English) Zbl 1095.13550 Appl. Algebra Eng. Commun. Comput. 13, No. 3, 163-207 (2002). MSC: 13P10 35A99 58H10 68W30 PDF BibTeX XML Cite \textit{M. Hausdorf} and \textit{W. M. Seiler}, Appl. Algebra Eng. Commun. Comput. 13, No. 3, 163--207 (2002; Zbl 1095.13550) Full Text: DOI OpenURL
Calderón-Moreno, Francisco; Narváez-Macarro, Luis The module \(DF^s\) for locally quasi-homogeneous free divisors. (English) Zbl 1017.32023 Compos. Math. 134, No. 1, 59-74 (2002). Reviewer: Gheorghe Gussi (Bucureşti) MSC: 32S20 32S40 32S45 32C38 14F40 PDF BibTeX XML Cite \textit{F. Calderón-Moreno} and \textit{L. Narváez-Macarro}, Compos. Math. 134, No. 1, 59--74 (2002; Zbl 1017.32023) Full Text: DOI arXiv OpenURL
Meziani, Abdelhamid Hypoellipticity of nonsingular closed 1-forms on compact manifolds. (English) Zbl 1017.58014 Commun. Partial Differ. Equations 27, No. 7-8, 1255-1269 (2002). Reviewer: Wieslaw Oledzki (Bialystok) MSC: 58J10 58H10 35H10 53C12 35D10 35F05 PDF BibTeX XML Cite \textit{A. Meziani}, Commun. Partial Differ. Equations 27, No. 7--8, 1255--1269 (2002; Zbl 1017.58014) Full Text: DOI OpenURL
Judson, Thomas W. Complete filtered Lie algebras over a vector space of dimension two. (English) Zbl 1035.17029 J. Lie Theory 12, No. 2, 423-447 (2002). MSC: 17B56 17B65 PDF BibTeX XML Cite \textit{T. W. Judson}, J. Lie Theory 12, No. 2, 423--447 (2002; Zbl 1035.17029) Full Text: EuDML EMIS OpenURL
Marvan, Michal On the horizontal gauge cohomology and nonremovability of the spectral parameter. (English) Zbl 1192.58012 Acta Appl. Math. 72, No. 1-2, 51-65 (2002). MSC: 58J10 35A30 58H10 PDF BibTeX XML Cite \textit{M. Marvan}, Acta Appl. Math. 72, No. 1--2, 51--65 (2002; Zbl 1192.58012) Full Text: DOI OpenURL
Haefliger, André Groupoids and foliations. (English) Zbl 0994.57025 Ramsay, Arlan (ed.) et al., Groupoids in analysis, geometry, and physics. AMS-IMS-SIAM joint summer research conference, University of Colorado, Boulder, CO, USA, June 20-24, 1999. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 282, 83-100 (2001). Reviewer: Carlos Galindo (Castellon) MSC: 57R30 58H10 58H05 55N91 53C12 PDF BibTeX XML Cite \textit{A. Haefliger}, Contemp. Math. 282, 83--100 (2001; Zbl 0994.57025) OpenURL
Heitsch, James L.; Hurder, Steven Coarse cohomology for families. (English) Zbl 1009.57036 Ill. J. Math. 45, No. 2, 323-360 (2001). Reviewer: Ken S.Richardson (Fort Worth, TX) MSC: 57R30 58H10 55N30 53C23 PDF BibTeX XML Cite \textit{J. L. Heitsch} and \textit{S. Hurder}, Ill. J. Math. 45, No. 2, 323--360 (2001; Zbl 1009.57036) OpenURL
Vinogradov, A. M. Cohomological analysis of partial differential equations and secondary calculus. Transl. from the original Russian manuscript by Joseph Krasil’shchik. (English) Zbl 1152.58308 Translations of Mathematical Monographs 204. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-2922-X/hbk). xv, 247 p. (2001). MSC: 58H10 58-02 35A27 35A30 58A20 PDF BibTeX XML Cite \textit{A. M. Vinogradov}, Cohomological analysis of partial differential equations and secondary calculus. Transl. from the original Russian manuscript by Joseph Krasil'shchik. Providence, RI: American Mathematical Society (AMS) (2001; Zbl 1152.58308) OpenURL