Schippers, Eric; Staubach, Wolfgang A survey of scattering theory on Riemann surfaces with applications in global analysis and geometry. (English) Zbl 07785094 Vietnam J. Math. 51, No. 4, 911-934 (2023). Reviewer: José Javier Etayo (Madrid) MSC: 14F40 30F15 30F30 35P99 51M15 PDFBibTeX XMLCite \textit{E. Schippers} and \textit{W. Staubach}, Vietnam J. Math. 51, No. 4, 911--934 (2023; Zbl 07785094) Full Text: DOI OA License
Suwa, Tatsuo Representation of relative sheaf cohomology. (English) Zbl 1525.14006 Forum Math. 35, No. 4, 1047-1076 (2023). Reviewer: Eliris Cristina Rizziolli (Rio Claro) MSC: 14B15 18G40 32C35 32C36 35A27 46M20 55N05 55N30 58A12 58J15 PDFBibTeX XMLCite \textit{T. Suwa}, Forum Math. 35, No. 4, 1047--1076 (2023; Zbl 1525.14006) Full Text: DOI arXiv
Colbois, Bruno; El Soufi, Ahmad; Ilias, Saïd; Savo, Alessandro Eigenvalues upper bounds for the magnetic Schrödinger operator. (English) Zbl 1518.58005 Commun. Anal. Geom. 30, No. 4, 779-814 (2022). Reviewer: Martin Chuaqui Farrú (Santiago de Chile) MSC: 58C40 58J50 35P05 53C21 PDFBibTeX XMLCite \textit{B. Colbois} et al., Commun. Anal. Geom. 30, No. 4, 779--814 (2022; Zbl 1518.58005) Full Text: DOI arXiv
Pfefferlé, David; Noakes, Lyle; Perrella, David Gauge freedom in magnetostatics and the effect on helicity in toroidal volumes. (English) Zbl 1498.78011 J. Math. Phys. 62, No. 9, Article ID 093505, 20 p. (2021). MSC: 78A30 14F40 58A14 82D10 35R01 PDFBibTeX XMLCite \textit{D. Pfefferlé} et al., J. Math. Phys. 62, No. 9, Article ID 093505, 20 p. (2021; Zbl 1498.78011) Full Text: DOI arXiv
Schippers, Eric; Staubach, Wolfgang A scattering theory of harmonic one-forms on Riemann surfaces. arXiv:2112.00835 Preprint, arXiv:2112.00835 [math.DG] (2021). MSC: 14F40 30F15 30F30 35P99 51M15 BibTeX Cite \textit{E. Schippers} and \textit{W. Staubach}, ``A scattering theory of harmonic one-forms on Riemann surfaces'', Preprint, arXiv:2112.00835 [math.DG] (2021) Full Text: arXiv OA License
Malass, Ihsane; Tarkhanov, Nikolai The de Rham cohomology through Hilbert space methods. (English) Zbl 07325523 J. Sib. Fed. Univ., Math. Phys. 12, No. 4, 455-465 (2019). MSC: 35-XX 58-XX PDFBibTeX XMLCite \textit{I. Malass} and \textit{N. Tarkhanov}, J. Sib. Fed. Univ., Math. Phys. 12, No. 4, 455--465 (2019; Zbl 07325523) Full Text: DOI MNR Link
Gratus, Jonathan; Kinsler, Paul; McCall, Martin W. Evaporating black-holes, wormholes, and vacuum polarisation: must they always conserve charge? (English) Zbl 1428.78002 Found. Phys. 49, No. 4, 330-350 (2019). MSC: 78A02 83C57 78A35 14F40 35Q60 PDFBibTeX XMLCite \textit{J. Gratus} et al., Found. Phys. 49, No. 4, 330--350 (2019; Zbl 1428.78002) Full Text: DOI arXiv
de Lucas, J.; Grundland, A. M. A cohomological approach to immersed submanifolds via integrable systems. (English) Zbl 1403.35269 Sel. Math., New Ser. 24, No. 5, 4749-4780 (2018). MSC: 35Q53 53A05 37K35 14F40 58A12 76B25 37K10 PDFBibTeX XMLCite \textit{J. de Lucas} and \textit{A. M. Grundland}, Sel. Math., New Ser. 24, No. 5, 4749--4780 (2018; Zbl 1403.35269) Full Text: DOI arXiv
Khavkine, Igor Cohomology with causally restricted supports. (English) Zbl 1354.81042 Ann. Henri Poincaré 17, No. 12, 3577-3603 (2016). MSC: 81T20 14F40 81V10 78A25 35J08 83C50 PDFBibTeX XMLCite \textit{I. Khavkine}, Ann. Henri Poincaré 17, No. 12, 3577--3603 (2016; Zbl 1354.81042) Full Text: DOI arXiv
Khavkine, Igor Topology, rigid cosymmetries and linearization instability in higher gauge theories. (English) Zbl 1315.35217 Ann. Henri Poincaré 16, No. 1, 255-288 (2015). Reviewer: Anthony D. Osborne (Keele) MSC: 35Q75 53C07 70S15 83C05 58A12 PDFBibTeX XMLCite \textit{I. Khavkine}, Ann. Henri Poincaré 16, No. 1, 255--288 (2015; Zbl 1315.35217) Full Text: DOI arXiv
Kobayashi, Teppei Time periodic solutions of the Navier-Stokes equations with the time periodic Poiseuille flow in two and three dimensional perturbed channels. (English) Zbl 1293.35208 Tohoku Math. J. (2) 66, No. 1, 119-135 (2014). MSC: 35Q30 14F40 76D05 76D07 35A10 35B45 PDFBibTeX XMLCite \textit{T. Kobayashi}, Tôhoku Math. J. (2) 66, No. 1, 119--135 (2014; Zbl 1293.35208) Full Text: DOI Euclid
Rodríguez, Ana Alonso; Bertolazzi, Enrico; Ghiloni, Riccardo; Valli, Alberto Construction of a finite element basis of the first de Rham cohomology group and numerical solution of 3D magnetostatic problems. (English) Zbl 1284.78012 SIAM J. Numer. Anal. 51, No. 4, 2380-2402 (2013). Reviewer: Rainer Picard (Dresden) MSC: 78M10 65N30 65N12 35Q60 35J46 14F40 78A30 PDFBibTeX XMLCite \textit{A. A. Rodríguez} et al., SIAM J. Numer. Anal. 51, No. 4, 2380--2402 (2013; Zbl 1284.78012) Full Text: DOI Link
Gaitsgory, Dennis Book review of: Ryoshi Hotta, Kiyoshi Takeuchi and Toshiyuki Tanisaki, \(D\)-modules, perverse sheaves, and representation theory. (English) Zbl 1292.00026 Bull. Am. Math. Soc., New Ser. 47, No. 4, 743-746 (2010). MSC: 00A17 14F10 32C38 22E46 14F40 35A27 17B10 14-02 32-02 PDFBibTeX XMLCite \textit{D. Gaitsgory}, Bull. Am. Math. Soc., New Ser. 47, No. 4, 743--746 (2010; Zbl 1292.00026) Full Text: DOI
Arnold, Douglas N.; Falk, Richard S.; Winther, Ragnar Finite element exterior calculus: From Hodge theory to numerical stability. (English) Zbl 1207.65134 Bull. Am. Math. Soc., New Ser. 47, No. 2, 281-354 (2010). Reviewer: Petr Necesal (Plzen) MSC: 65N30 58A14 14F40 58A12 58A15 58J10 35J05 65N12 PDFBibTeX XMLCite \textit{D. N. Arnold} et al., Bull. Am. Math. Soc., New Ser. 47, No. 2, 281--354 (2010; Zbl 1207.65134) Full Text: DOI arXiv
Berg, Michael; Post, Evert Jan; Rahimizadeh, Hooman Toward a two-tiered quantum reality. (English) Zbl 1183.83030 Int. J. Pure Appl. Math. 54, No. 2, 297-309 (2009). MSC: 83C22 35Q40 14F40 81S10 PDFBibTeX XMLCite \textit{M. Berg} et al., Int. J. Pure Appl. Math. 54, No. 2, 297--309 (2009; Zbl 1183.83030)
Mardare, Sorin On Poincaré and de Rham’s theorems. (English) Zbl 1174.35086 Rev. Roum. Math. Pures Appl. 53, No. 5-6, 523-541 (2008). Reviewer: Rodica Luca Tudorache (Iaşi) MSC: 35N10 35D05 58A12 PDFBibTeX XMLCite \textit{S. Mardare}, Rev. Roum. Math. Pures Appl. 53, No. 5--6, 523--541 (2008; Zbl 1174.35086)
Mitrea, Dorina; Mitrea, Marius; Shaw, Mei-Chi Traces of differential forms on Lipschitz domains, the boundary de Rham complex and Hodge decompositions. (English) Zbl 1167.58001 Indiana Univ. Math. J. 57, No. 5, 2061-2095 (2008). Reviewer: Agostino Prástaro (Roma) MSC: 58A10 46E35 58J10 35N10 14F40 35F05 PDFBibTeX XMLCite \textit{D. Mitrea} et al., Indiana Univ. Math. J. 57, No. 5, 2061--2095 (2008; Zbl 1167.58001) Full Text: DOI
Mansfield, Elizabeth L. Digital atlases and difference forms. (English) Zbl 1487.35003 Jeffrey, David J. (ed.), Proceedings of the 2008 international symposium on symbolic and algebraic computation, ISSAC 2008, Linz/Hagenberg, Austria, July 20–23, 2008. New York, NY: Association for Computing Machinery (ACM). 3-4 (2008). MSC: 35-04 39-04 39A12 14F40 55N05 15A75 68W30 PDFBibTeX XMLCite \textit{E. L. Mansfield}, in: Proceedings of the 2008 international symposium on symbolic and algebraic computation, ISSAC 2008, Linz/Hagenberg, Austria, July 20--23, 2008. New York, NY: Association for Computing Machinery (ACM). 3--4 (2008; Zbl 1487.35003) Full Text: DOI
Hotta, Ryoshi; Takeuchi, Kiyoshi; Tanisaki, Toshiyuki \(D\)-modules, perverse sheaves, and representation theory. Translated from the Japanese by Kiyoshi Takeuchi. Expanded edition. (English) Zbl 1136.14009 Progress in Mathematics 236. Basel: Birkhäuser (ISBN 978-0-8176-4363-8/hbk). x, 407 p. (2008). Reviewer: Gheorghe Gussi (Bucureşti) MSC: 14F10 32C38 22E46 14F40 35A27 17B10 14-02 32-02 PDFBibTeX XMLCite \textit{R. Hotta} et al., \(D\)-modules, perverse sheaves, and representation theory. Translated from the Japanese by Kiyoshi Takeuchi. Expanded edition. Basel: Birkhäuser (2008; Zbl 1136.14009)
Neelon, Tejinder S. Differential complexes with nonsmoothable cohomology: obstructions to de Rham’s theorem. (English) Zbl 1134.58008 JP J. Geom. Topol. 7, No. 1, 131-157 (2007). MSC: 58J10 35N10 PDFBibTeX XMLCite \textit{T. S. Neelon}, JP J. Geom. Topol. 7, No. 1, 131--157 (2007; Zbl 1134.58008)
Aleksandrov, Aleksandr G. Logarithmic differential forms, torsion differentials and residue. (English) Zbl 1083.32024 Complex Variables, Theory Appl. 50, No. 7-11, 777-802 (2005). MSC: 32S25 14F10 14F40 35N05 58K65 PDFBibTeX XMLCite \textit{A. G. Aleksandrov}, Complex Variables, Theory Appl. 50, No. 7--11, 777--802 (2005; Zbl 1083.32024) Full Text: DOI
Ito, Yoshifumi \(L_2\)-estimates and existence theorems for the exterior differential operators. (English) Zbl 0949.35036 J. Math., Tokushima Univ. 33, 15-32 (1999). MSC: 35D05 35N05 14F17 14F40 32C35 58J10 PDFBibTeX XMLCite \textit{Y. Ito}, J. Math., Tokushima Univ. 33, 15--32 (1999; Zbl 0949.35036)
Taira, Kazuaki Brownian motion and index formulas for the de Rham complex. (English) Zbl 0917.58042 Mathematical Research. 106. Berlin: Wiley-VCH. 215 p. (1998). Reviewer: Peter Haskell (Blacksburg) MSC: 58J10 58J20 58-02 60J65 58A12 57R20 35J55 31B20 35S99 58J32 PDFBibTeX XMLCite \textit{K. Taira}, Brownian motion and index formulas for the de Rham complex. Berlin: Wiley-VCH (1998; Zbl 0917.58042)
Meziani, Abdelhamid The Mizohata complex. (English) Zbl 0869.35023 Trans. Am. Math. Soc. 349, No. 3, 1029-1062 (1997). Reviewer: J.Chrastina (Brno) MSC: 35F05 58A10 PDFBibTeX XMLCite \textit{A. Meziani}, Trans. Am. Math. Soc. 349, No. 3, 1029--1062 (1997; Zbl 0869.35023) Full Text: DOI
Taylor, Michael E. Partial differential equations. 1: Basic theory. (English) Zbl 0869.35002 Applied Mathematical Sciences. 115. Berlin: Springer-Verlag. xxi, 563 p. DM 98.00; öS 715.40; sFr 86.50 (1996). Reviewer: J.Wloka (Kiel) MSC: 35-01 35-02 58Jxx 35J05 35Exx 35G10 PDFBibTeX XMLCite \textit{M. E. Taylor}, Partial differential equations. 1: Basic theory. Berlin: Springer-Verlag (1996; Zbl 0869.35002)
Malgrange, Bernard De Rham complex and direct images of \(\mathcal{D}\)-modules. (English) Zbl 0853.32013 Maisonobe, Philippe (ed.) et al., Images directes et constructibilité. Cours d’été du CIMPA ‘Éléments de la théorie des systèmes différentiels’, août et septembre 1990, Nice, France. Paris: Hermann. Trav. Cours. 46, 1-13 (1993). Reviewer: F.Castro-Jiménez (Sevilla) MSC: 32C38 14F40 16S32 35A27 PDFBibTeX XMLCite \textit{B. Malgrange}, in: Images directes et constructibilité. Cours d'été du CIMPA `Éléments de la théorie des systèmes différentiels', août et septembre 1990, Nice, France. Paris: Hermann. 1--13 (1993; Zbl 0853.32013) Full Text: EuDML
Taira, Kazuaki An index formula for the de Rham complex. (English) Zbl 0791.58005 Tôhoku Math. J., II. Ser. 45, No. 3, 331-358 (1993). Reviewer: J.Kubarski (Łódź) MSC: 58A12 58J20 58A14 35J25 PDFBibTeX XMLCite \textit{K. Taira}, Tôhoku Math. J. (2) 45, No. 3, 331--358 (1993; Zbl 0791.58005) Full Text: DOI
Meziani, Abdelhamid Cohomology relative to the germ of an exact form. (English) Zbl 0793.32015 Grinberg, Eric L. (ed.), Geometric analysis. Proceedings of an AMS special session, held at the 868th meeting of the American Mathematical Society at Temple University, Philadelphia, PA, USA, October 12-13, 1991. Providence, RI: American Mathematical Society. Contemp. Math. 140, 97-104 (1992). Reviewer: A.P.Stone (Albuquerque) MSC: 32S20 32S45 58A10 35A20 PDFBibTeX XMLCite \textit{A. Meziani}, Contemp. Math. 140, 97--104 (1992; Zbl 0793.32015)
Zil’berglejt, L. V.; Lychagin, V. V. Spectral sequences of stable Spencer cohomology for systems of differential equations over characteristic bundles. (English. Russian original) Zbl 0706.58079 Sov. Math., Dokl. 41, No. 1, 148-151 (1990); translation from Dokl. Akad. Nauk SSSR 310, No. 5, 1039-1042 (1990). MSC: 58H10 58J10 18G40 14F40 35G20 58A20 58J50 55T99 PDFBibTeX XMLCite \textit{L. V. Zil'berglejt} and \textit{V. V. Lychagin}, Sov. Math., Dokl. 41, No. 1, 148--151 (1990; Zbl 0706.58079); translation from Dokl. Akad. Nauk SSSR 310, No. 5, 1039--1042 (1990)
Rodin, Yu. L. The Riemann boundary problem on Riemann surfaces. (English) Zbl 0695.30040 Mathematics and its Applications (Soviet Series), 16. Dordrecht (Netherlands) etc.: D. Reidel Publishing Company. xiii, 199 p. (1988). Reviewer: C.Andreian Cazacu MSC: 30F99 30F30 30E25 14H05 32L10 30G20 14C40 35J55 14F40 35Q15 PDFBibTeX XMLCite \textit{Yu. L. Rodin}, The Riemann boundary problem on Riemann surfaces. Dordrecht (Netherlands) etc.: D. Reidel Publishing Company (1988; Zbl 0695.30040)
Aomoto, Kazuhiko Gauss-Manin connection of integral of difference products. (English) Zbl 0619.32010 J. Math. Soc. Japan 39, 191-208 (1987). Reviewer: J.M.Granger MSC: 32C38 35A27 58J15 PDFBibTeX XMLCite \textit{K. Aomoto}, J. Math. Soc. Japan 39, 191--208 (1987; Zbl 0619.32010) Full Text: DOI
Lychagin, V. V. Differential operators on fiber spaces. (English) Zbl 0581.58039 Russ. Math. Surv. 40, No. 2, 221-222 (1985). MSC: 58H10 35A30 55T99 PDFBibTeX XMLCite \textit{V. V. Lychagin}, Russ. Math. Surv. 40, No. 2, 221--222 (1985; Zbl 0581.58039) Full Text: DOI
Noumi, Masatoshi Constructible \({\mathbb{C}}_ X\)-modules and holonomic \({\mathcal D}_ X\)- modules. (Japanese) Zbl 0592.32021 Sûgaku 36, 125-136 (1984). Reviewer: M.Muro MSC: 32L99 32K99 58J10 18F20 14F10 14F40 35Q15 PDFBibTeX XMLCite \textit{M. Noumi}, Sūgaku 36, 125--136 (1984; Zbl 0592.32021)
Bureš, Jarolím; Souček, Vladimír On generalized Cauchy Riemann equations on manifolds. (English) Zbl 0575.32028 Suppl. Rend. Circ. Mat. Palermo, II. Ser. 6, 31-42 (1984). Reviewer: S.G.Krautz MSC: 32K99 32L10 58A10 58A12 35N15 58J10 53C15 14F40 PDFBibTeX XMLCite \textit{J. Bureš} and \textit{V. Souček}, Suppl. Rend. Circ. Mat. Palermo (2) 6, 31--42 (1984; Zbl 0575.32028)
Kumpera, A. Sur la cohomologie des systèmes d’équations différentielles et des pseudogroupes de Lie. (French) Zbl 0552.58039 Differential geometry, Proc. int. Symp., Peñiscola/Spain 1982, Lect. Notes Math. 1045, 84-94 (1984). Reviewer: J.Pradines MSC: 58H10 35G20 PDFBibTeX XML
Majima, Hideyuki Asymptotic analysis for integrable connections with irregular singular points. (English) Zbl 0546.58003 Lecture Notes in Mathematics. 1075. Berlin etc.: Springer-Verlag. IX, 159 p DM 26.50; $ 9.30 (1984). Reviewer: P.Michor MSC: 58A17 58-02 35C20 32L10 PDFBibTeX XML Full Text: DOI
Kita, Michitake; Noumi, Masatoshi On the structure of cohomology groups attached to the integral of certain many-valued analytic functions. (English) Zbl 0526.32012 Proc. Japan Acad., Ser. A 58, 97-100 (1982). MSC: 32C35 35L20 PDFBibTeX XMLCite \textit{M. Kita} and \textit{M. Noumi}, Proc. Japan Acad., Ser. A 58, 97--100 (1982; Zbl 0526.32012) Full Text: DOI
Brylinski, J. L.; Kashiwara, M. Kazhdan-Lusztig conjecture and holonomic systems. (English) Zbl 0473.22009 Invent. Math. 64, 387-410 (1981). MSC: 22E47 14F40 14L30 35A99 55N35 PDFBibTeX XMLCite \textit{J. L. Brylinski} and \textit{M. Kashiwara}, Invent. Math. 64, 387--410 (1981; Zbl 0473.22009) Full Text: DOI EuDML