Lima, D. V. S.; R. Da Silveira, M.; Vieira, E. R. Covering action on Conley index theory. (English) Zbl 1517.37023 Ergodic Theory Dyn. Syst. 43, No. 5, 1633-1665 (2023). MSC: 37B30 14E20 57M10 58E40 37B35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Meng, Lingxu Morse-Novikov cohomology for blow-ups of complex manifolds. (English) Zbl 1517.32077 Pac. J. Math. 320, No. 2, 365-390 (2022). Reviewer: Guokuan Shao (Zhuhai) MSC: 32Q55 55N30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Huang, Teng On harmonic symmetries for locally conformally Kähler manifolds. (English) Zbl 1507.53068 Ann. Mat. Pura Appl. (4) 201, No. 5, 2241-2259 (2022). Reviewer: Neda Bokan (Beograd) MSC: 53C55 32Q15 32S35 58A12 58A14 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chang, Xiang-Ke Hermite-Padé approximations with Pfaffian structures: Novikov peakon equation and integrable lattices. (English) Zbl 1507.41007 Adv. Math. 402, Article ID 108338, 45 p. (2022). Reviewer: Francisco Pérez Acosta (La Laguna) MSC: 41A21 30E10 37K10 37K60 42C05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Krichever, Igor; Nekrasov, Nikita Novikov-Veselov symmetries of the two-dimensional \(O(N)\) sigma model. (English) Zbl 1479.14040 SIGMA, Symmetry Integrability Geom. Methods Appl. 18, Paper 006, 37 p. (2022). Reviewer: Ahmed Lesfari (El Jadida) MSC: 14H70 17B80 35J10 37K10 37K20 37K30 81R12 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Pajitnov, Andrei Incidence coefficients in the Novikov complex for Morse forms: rationality and exponential growth properties. (English) Zbl 1467.58007 Proc. Int. Geom. Cent. 13, No. 4, 125-178 (2020). MSC: 58E05 58J10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Pajitnov, Andrei On the conical Novikov homology. (English) Zbl 1470.57050 Eur. J. Math. 6, No. 4, 1303-1341 (2020). Reviewer: Irina Gelbukh (Ciudad de México) MSC: 57R70 57R35 57R45 57K45 57K10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zou, Yongpan On the Morse-Novikov cohomology of blowing up complex manifolds. (Sur la cohomologie de Morse-Novikov des éclatements de variétés complexes.) (English. French summary) Zbl 1457.32019 C. R., Math., Acad. Sci. Paris 358, No. 1, 67-77 (2020). MSC: 32C35 32S45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Vishik, Alexander Stable and unstable operations in algebraic cobordism. (English. French summary) Zbl 1439.19005 Ann. Sci. Éc. Norm. Supér. (4) 52, No. 3, 561-630 (2019). MSC: 19E15 14F42 14C40 19D10 55N22 55S05 14C25 55N20 57R77 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Laudenbach, François; Moraga Ferrándiz, Carlos A geometric Morse-Novikov complex with infinite series coefficients. (Un complexe de Morse-Novikov géométrique avec des coefficients séries infinis.) (English. Abridged French version) Zbl 1423.57047 C. R., Math., Acad. Sci. Paris 356, No. 11-12, 1222-1227 (2018). Reviewer: Thomas J. Bartsch (Gießen) MSC: 57R19 57R70 58E05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ma, Hui; Mironov, Andrey E.; Zuo, Dafeng An energy functional for Lagrangian tori in \(\mathbb {C}P^2\). (English) Zbl 1394.37104 Ann. Global Anal. Geom. 53, No. 4, 583-595 (2018). Reviewer: Ivan C. Sterling (St. Mary’s City) MSC: 37K25 37K20 53D12 58E12 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Lima, Dahisy V. De S.; Neto, Oziride Manzoli; De Rezende, Ketty A.; Da Silveira, Mariana R. Cancellations for circle-valued Morse functions via spectral sequences. (English) Zbl 1393.37016 Topol. Methods Nonlinear Anal. 51, No. 1, 259-311 (2018). Reviewer: Michael Farber (London) MSC: 37B30 37E35 57R70 57R19 55T05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Euclid
Burghelea, Dan New topological invariants for real- and angle-valued maps. An alternative to Morse-Novikov theory. (English) Zbl 1384.58001 Hackensack, NJ: World Scientific (ISBN 978-981-4618-24-3/hbk; 978-981-4618-26-7/ebook). xvi, 242 p. (2018). Reviewer: Dorin Andrica (Riyadh) MSC: 58-02 58E05 58K15 58K05 58K10 57R35 55R35 57M27 × Cite Format Result Cite Review PDF Full Text: DOI
Friedl, Stefan; Maxim, Laurentiu Twisted Novikov homology of complex hypersurface complements. (English) Zbl 1372.14037 Math. Nachr. 290, No. 4, 604-612 (2017). Reviewer: Alexandru Dimca (Nice) MSC: 14J70 32S20 32S55 55N25 57Q45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Lakshtanov, Evgeny L.; Novikov, Roman G.; Vainberg, Boris R. A global Riemann-Hilbert problem for two-dimensional inverse scattering at fixed energy. (English) Zbl 1375.35120 Rend. Ist. Mat. Univ. Trieste 48, 21-47 (2016). MSC: 35J10 30E25 35P25 35Q15 35R30 35Q53 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Mukherjee, Amiya Signature operators on Lipschitz manifolds and Novikov’s theorem. (English) Zbl 1354.58018 Agarwal, Ashok Kumar (ed.), Recent advances in mathematics. 29th annual conference of the Ramanujan Mathematical Society (RMS), Indian Institute of Science Education and Research (IISER), Pune, India, June 23–27, 2014. Mysore: Ramanujan Mathematical Society (ISBN 978-93-80416-16-8/pbk). Ramanujan Mathematical Society Lecture Notes Series 21, 115-132 (2015). Reviewer: Bo Liu (Bures-sur-Yvette) MSC: 58J20 57R20 58-02 × Cite Format Result Cite Review PDF
Goda, Hiroshi; Matsuda, Hiroshi; Pajitnov, Andrey Vladimirovich Morse-Novikov theory, Heegaard splittings, and closed orbits of gradient flows. (English) Zbl 1328.57015 St. Petersbg. Math. J. 26, No. 3, 441-461 (2015) and Algebra Anal. 26, No. 3, 131-158 (2014). Reviewer: Andrew Bucki (Edmond) MSC: 57M27 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Yang, Xiangdong; Zhao, Guosong A note on the Morse-Novikov cohomology of blow-ups of locally conformal Kähler manifolds. (English) Zbl 1321.53087 Bull. Aust. Math. Soc. 91, No. 1, 155-166 (2015). Reviewer: Andrea Spiro (Camerino) MSC: 53C55 53C56 × Cite Format Result Cite Review PDF Full Text: DOI Link
Music, Michael The nonlinear Fourier transform for two-dimensional subcritical potentials. (English) Zbl 1317.37085 Inverse Probl. Imaging 8, No. 4, 1151-1167 (2014). MSC: 37K15 35J10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Shen, Zhengjie; Wang, Jinping The research of complex analytic method in spect image reconstruction. (English) Zbl 1310.44006 Appl. Anal. 93, No. 11, 2451-2461 (2014). MSC: 44A12 44A15 65R32 30E20 × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Xiaoman; Wang, Qin; Wang, Zhijie Fibred coarse embedding into non-positively curved manifolds and higher index problem. (English) Zbl 1306.53029 J. Funct. Anal. 267, No. 11, 4029-4065 (2014). Reviewer: Nicoleta Aldea (Brasov) MSC: 53C23 57R20 53C20 × Cite Format Result Cite Review PDF Full Text: DOI
Hüttemann, Thomas; Quinn, David Finite domination and Novikov rings. Iterative approach. (English) Zbl 1258.55014 Glasg. Math. J. 55, No. 1, 145-160 (2013). Reviewer: Tamar Datuashvili (Tbilisi) MSC: 55U15 18G35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Buchstaber, V. M. Complex cobordism and formal groups. (English. Russian original) Zbl 1275.55004 Russ. Math. Surv. 67, No. 5, 891-950 (2012); translation from Usp. Mat. Nauk. 67, No. 5, 111-174 (2012). Reviewer: Andrew Baker (Glasgow) MSC: 55N22 57R77 × Cite Format Result Cite Review PDF Full Text: DOI
Wagemann, Friedrich More remarks on the cohomology of Krichever-Novikov algebras. (English) Zbl 1307.17025 Afr. Mat. 23, No. 1, 41-52 (2012). MSC: 17B56 17B68 32C18 32M25 × Cite Format Result Cite Review PDF Full Text: DOI HAL
Ji, Lizhen Curve complexes versus Tits buildings: structures and applications. (English) Zbl 1252.53063 Narasimha Sastry, N. S. (ed.), Buildings, finite geometries and groups. Proceedings of a satellite conference of the international congress of mathematicians (ICM), Hyderabad, India, 2010, held in Bangalore, India, August 29–31, 2010. Berlin: Springer (ISBN 978-1-4614-0708-9/hbk; 978-1-4614-0709-6/ebook). Springer Proceedings in Mathematics 10, 93-152 (2012). Reviewer: Walter Freyn (Augsburg) MSC: 53C35 20E42 30F60 20G15 57M99 55R35 × Cite Format Result Cite Review PDF Full Text: DOI
Sheinman, Oleg K. Current algebras on Riemann surfaces. New results and applications. (English) Zbl 1258.81002 de Gruyter Expositions in Mathematics 58. Berlin: de Gruyter (ISBN 978-3-11-026396-1/hbk; 978-3-11-026452-4/ebook). xiii, 150 p. (2012). Reviewer: Helmut Rumpf (Wien) MSC: 81-02 17B66 17B80 81R10 81R12 81T40 22E70 14D21 32G15 14J80 × Cite Format Result Cite Review PDF Full Text: DOI
Sheinman, O. K. Krichever-Novikov algebras, their representations and applications in geometry and mathematical physics. (English. Russian original) Zbl 1330.17031 Proc. Steklov Inst. Math. 274, Suppl. 1, S85-S161 (2011); translation from Sovrem. Probl. Mat. 10, 5-140 (2007). MSC: 17B68 17B81 81R10 14D21 17B10 22E47 37K20 × Cite Format Result Cite Review PDF Full Text: DOI
Hüttemann, Thomas Double complexes and vanishing of Novikov cohomology. (English) Zbl 1265.18018 Serdica Math. J. 37, No. 4, 295-304 (2011). Reviewer: Vesselin Drensky (Sofia) MSC: 18G35 55U15 × Cite Format Result Cite Review PDF Full Text: arXiv
Hill, Michael A.; Hopkins, Michael J.; Ravenel, Douglas C. The Arf-Kervaire problem in algebraic topology: sketch of the proof. (English) Zbl 1249.55005 Jerison, David (ed.) et al., Current developments in mathematics, 2010. Somerville, MA: International Press (ISBN 978-1-57146-228-2/hbk). 1-43 (2011). Reviewer: Haruo Minami (Nara) MSC: 55Q45 55P91 57R55 57R77 × Cite Format Result Cite Review PDF
Deng, Chaofa New abundant exact solutions for the \((2 + 1)\)-dimensional generalized Nizhnik-Novikov-Veselov system. (English) Zbl 1222.35164 Commun. Nonlinear Sci. Numer. Simul. 15, No. 11, 3349-3357 (2010). MSC: 35Q41 35C07 × Cite Format Result Cite Review PDF Full Text: DOI
Kitayama, Takahiro Non-commutative Reidemeister torsion and Morse-Novikov theory. (English) Zbl 1201.57016 Proc. Am. Math. Soc. 138, No. 9, 3345-3360 (2010). Reviewer: Hiroshi Goda (Tokyo) MSC: 57Q10 57R70 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ornea, Liviu; Verbitsky, Misha Morse-Novikov cohomology of locally conformally Kähler manifolds. (English) Zbl 1161.57015 J. Geom. Phys. 59, No. 3, 295-305 (2009); erratum ibid. 107, 92-98 (2016). Reviewer: Gheorghe Pitiş (Braşov) MSC: 57R20 53C56 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gong, Guihua; Wang, Qin; Yu, Guoliang Geometrization of the strong Novikov conjecture for residually finite groups. (English) Zbl 1154.46042 J. Reine Angew. Math. 621, 159-189 (2008). Reviewer: Vladimir M. Manuilov (Moskva) MSC: 46L80 19K14 57R19 × Cite Format Result Cite Review PDF Full Text: DOI
Hutchings, Michael Floer homology of families. I. (English) Zbl 1170.57025 Algebr. Geom. Topol. 8, No. 1, 435-492 (2008). Reviewer: Weiping Li (Stillwater) MSC: 57R58 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Rosenberg, Jonathan An analogue of the Novikov conjecture in complex algebraic geometry. (English) Zbl 1129.14026 Trans. Am. Math. Soc. 360, No. 1, 383-394 (2008). Reviewer: Keith Johnson (Halifax) MSC: 14E05 32Q55 57R77 58J20 58J22 46L87 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hunsicker, Eugénie Hodge and signature theorems for a family of manifolds with fibre bundle boundary. (English) Zbl 1132.58013 Geom. Topol. 11, 1581-1622 (2007). Reviewer: Keith Johnson (Halifax) MSC: 58J10 14F40 14F43 55N33 13D22 32S20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Lassas, M.; Mueller, J. L.; Siltanen, S. Mapping properties of the nonlinear Fourier transform in dimension two. (English) Zbl 1117.81133 Commun. Partial Differ. Equations 32, No. 4, 591-610 (2007). MSC: 81U40 46T20 42B10 35Q58 35J10 35K55 81Q05 78A05 × Cite Format Result Cite Review PDF Full Text: DOI
Emerson, Heath; Meyer, Ralf A descent principle for the Dirac–dual-Dirac method. (English) Zbl 1119.19005 Topology 46, No. 2, 185-209 (2007). Reviewer: Takahiro Sudo (Nishihara) MSC: 19K35 46L87 19K33 46L80 58J42 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Yu, Yaxuan; Wang, Qi; Zhang, Hongqing The extension of the Jacobi elliptic function rational expansion method. (English) Zbl 1111.35069 Commun. Nonlinear Sci. Numer. Simul. 12, No. 5, 702-713 (2007). MSC: 35Q53 37K20 35-04 × Cite Format Result Cite Review PDF Full Text: DOI
Bukhshtaber, V. M.; Leĭkin, D. V. Functional equations defining multiplication in a continuous Krichever-Novikov basis. (English) Zbl 1152.47302 Russ. Math. Surv. 61, No. 1, 165-167 (2006); translation from Usp. Mat. Nauk 61, No. 1, 171-172 (2005). Reviewer: Khalil Ezzinbi (Marrakech) MSC: 37K10 14H70 30D45 35Q58 37K20 39B32 × Cite Format Result Cite Review PDF Full Text: DOI MNR
Pajitnov, Andrei Circle-valued Morse theory. (English) Zbl 1118.58007 de Gruyter Studies in Mathematics 32. Berlin: Walter de Gruyter (ISBN 978-3-11-015807-6). ix, 454 p. (2006). Reviewer: David Chataur (Villeneuve d’Ascq) MSC: 58E05 58-02 37-02 37C10 57M25 57R70 37C27 × Cite Format Result Cite Review PDF
Schlichenmaier, Martin Deformations of the Virasoro algebra of Krichever-Novikov type. (English) Zbl 1196.17023 J. Geom. Symmetry Phys. 5, 95-105 (2006). MSC: 17B68 17B55 81R10 × Cite Format Result Cite Review PDF
Sheinman, O. K. Projective flat connections on moduli spaces of Riemann surfaces and the Knizhnik-Zamolodchikov equations. (English. Russian original) Zbl 1119.32007 Proc. Steklov Inst. Math. 251, 293-304 (2005); translation from Tr. Mat. Inst. Steklova 251, 307-319 (2005). MSC: 32G34 14H15 32G15 81T40 × Cite Format Result Cite Review PDF
Lee, Yijen Reidemeister torsion in Floer-Novikov theory and counting pseudo-holomorphic tori. II. (English) Zbl 1093.53092 J. Symplectic Geom. 3, No. 3, 385-480 (2005). Reviewer: Akira Asada (Takarazuka) MSC: 53D40 53D45 57Q10 57R58 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Euclid
Lee, Yijen Reidemeister torsion in Floer-Novikov theory and counting pseudo-holomorphic tori. I. (English) Zbl 1093.53091 J. Symplectic Geom. 3, No. 2, 221-311 (2005). Reviewer: Akira Asada (Takarazuka) MSC: 53D40 53D45 57Q10 57R58 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Euclid
Hernández Heredero, Rafael Classification of fully nonlinear integrable evolution equations of third order. (English) Zbl 1089.35072 J. Nonlinear Math. Phys. 12, No. 4, 567-585 (2005). MSC: 35Q58 37K20 35Q53 37K35 × Cite Format Result Cite Review PDF Full Text: DOI
Schütz, D. Zeta functions for gradients of closed 1-forms. (English) Zbl 1053.37010 Topology Appl. 144, No. 1-3, 147-160 (2004). MSC: 37C27 37C30 57R70 37B35 × Cite Format Result Cite Review PDF Full Text: DOI
Farber, Michael Topology of closed one-forms. (English) Zbl 1052.58016 Mathematical Surveys and Monographs 108. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-3531-9/pbk). xi, 246 p. (2004). Reviewer: D. Andrica (Cluj-Napoca) MSC: 58E05 58A10 57R70 57R30 58-02 57-02 × Cite Format Result Cite Review PDF
Cornea, Octav; Ranicki, Andrew Rigidity and gluing for Morse and Novikov complexes. (English) Zbl 1052.57052 J. Eur. Math. Soc. (JEMS) 5, No. 4, 343-394 (2003). Reviewer: Michael Farber (Zürich) MSC: 57R70 58E05 57R45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Schütz, D. Geometric chain homotopy equivalences between Novikov complexes. (English) Zbl 1046.58003 Farrell, F. T. (ed.) et al., High-dimensional manifold topology. Proceedings of the school, ICTP, Trieste, Italy, May 21–June 8, 2001. River Edge, NJ: World Scientific (ISBN 981-238-223-2/hbk). 469-498 (2003). Reviewer: Akira Asada (Takarazuka) MSC: 58E05 57R70 57Q10 × Cite Format Result Cite Review PDF
Sauer, Roman Power series over the group ring of a free group and applications to Novikov-Shubin invariants. (English) Zbl 1051.16013 Farrell, F. T. (ed.) et al., High-dimensional manifold topology. Proceedings of the school, ICTP, Trieste, Italy, May 21–June 8, 2001. River Edge, NJ: World Scientific (ISBN 981-238-223-2/hbk). 449-468 (2003). Reviewer: S. V. Mihovski (Plovdiv) MSC: 16S34 16W60 46L51 30B10 57R20 46L10 × Cite Format Result Cite Review PDF
Pazhitnov, A. V. Counting closed orbits of gradient flows of circle-valued mappings. (English. Russian original) Zbl 1031.57024 St. Petersbg. Math. J. 14, No. 3, 499-534 (2003); translation from Algebra Anal. 14, No. 3, 186-240 (2002). Reviewer: Michael Farber (Zürich) MSC: 57R70 37C25 37C30 × Cite Format Result Cite Review PDF
Grinevich, P. G.; Novikov, S. P. Topological charge of the real periodic finite-gap sine-Gordon solutions. (English) Zbl 1044.35071 Commun. Pure Appl. Math. 56, No. 7, 956-978 (2003). MSC: 35Q53 37K20 37K15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Mathai, Varghese The Novikov conjecture for low degree cohomology classes. (English) Zbl 1029.19006 Geom. Dedicata 99, 1-15 (2003). Reviewer: V.M.Manuilov (Moskva) MSC: 19K56 46L80 58J22 57R20 53C15 × Cite Format Result Cite Review PDF Full Text: DOI
Ranicki, Andrew Circle valued Morse theory and Novikov homology. (English) Zbl 1068.57031 Farrell, F. Thomas (ed.) et al., Topology of high-dimensional manifolds. Proceedings of the school on high-dimensional manifold topology, Abdus Salam ICTP, Trieste, Italy, May 21–June 8, 2001. Number 1 and 2. Trieste: The Abdus Salam International Centre for Theoretical Physics (ISBN 92-95003-12-8/pbk). ICTP Lect. Notes 9, 539-569 (2002). Reviewer: Dorin Andrica (Cluj-Napoca) MSC: 57R70 55N35 58E05 × Cite Format Result Cite Review PDF Full Text: arXiv
Dubrovsky, V. G.; Formusatik, I. B.; Lisitsyn, Ya. V. Exact solutions of some integrable nonlinear equations. (English) Zbl 1034.37045 Nikitin, A. G. (ed.) et al., Proceedings of the fourth international conference on symmetry in nonlinear mathematical physics, Kyïv, Ukraine, July 9–15, 2001. Part 1. Dedicated to the 200th anniversary of M. Ostrohrads’kyi. Kyïv: Institute of Mathematics of NAS of Ukraine (ISBN 966-02-2486-9). Proc. Inst. Math. Natl. Acad. Sci. Ukr., Math. Appl. 43(1), 302-313 (2002). Reviewer: A. Sergyeyev (Kyïv) MSC: 37K20 37K25 37K10 35Q15 35A22 35Q51 × Cite Format Result Cite Review PDF
Schütz, D. One-parameter fixed-point theory and gradient flows of closed 1-forms. (English) Zbl 1002.37011 \(K\)-Theory 25, No. 1, 59-97 (2002). Reviewer: Yuli Rudyak (Gainesville) MSC: 37C27 37C30 57R70 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ranicki, Andrew The algebraic construction of the Novikov complex of a circle-valued Morse function. (English) Zbl 1001.58006 Math. Ann. 322, No. 4, 745-785 (2002). Reviewer: M.Farber (Tel Aviv) MSC: 58E05 37B30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Schütz, D. Controlled connectivity of closed \(1\)-forms. (English) Zbl 1002.57069 Algebr. Geom. Topol. 2, 171-217 (2002). Reviewer: M.Farber (Tel Aviv) MSC: 57R70 20J05 57R19 57N65 58A10 58E05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv EuDML EMIS
Pajitnov, A. V. Closed orbits of gradient flows and logarithms of non-abelian Witt vectors. (English) Zbl 1023.37008 \(K\)-Theory 21, No. 4, 301-324 (2000). Reviewer: Dieter Erle (Dortmund) MSC: 37C27 37C30 57R70 37C20 19B99 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Farber, M.; Ranicki, A. The Morse-Novikov theory of circle-valued functions and noncommutative localization. (English) Zbl 0983.58007 Bukhshtaber, V. M. (ed.) et al., Solitons, geometry, and topology: on the crossroads. Collected papers dedicated to the 60th birthday of Academician Sergei Petrovich Novikov. Transl. from the Russian. Moscow: MAIK Nauka/Interperiodica, Proc. Steklov Inst. Math. 225, 363-371 (1999); and Tr. Mat. Inst. Steklova 225, 381-388 (1999). Reviewer: Akira Asada (Takarazuka) MSC: 58E05 57R70 16U20 × Cite Format Result Cite Review PDF Full Text: arXiv
Yamagishi, Kengo A note on modified Veselov-Novikov hierarchy. (English) Zbl 0970.37058 Phys. Lett., B 454, No. 1-2, 31-37 (1999). MSC: 37K20 37K10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Novikov, D. P. Algebraic-geometric solutions of the Krichever-Novikov equation. (English. Russian original) Zbl 0994.37037 Theor. Math. Phys. 121, No. 3, 1567-1573 (1999); translation from Teor. Mat. Fiz. 121, No. 3, 367-373 (1999). Reviewer: J.M.Muñoz Porras (Salamanca) MSC: 37K20 37K10 14K25 × Cite Format Result Cite Review PDF Full Text: DOI
Farber, M. Morse-Novikov critical point theory, Cohn localization and Dirichlet units. (English) Zbl 0964.57030 Commun. Contemp. Math. 1, No. 4, 467-495 (1999). Reviewer: Aleksandr G.Aleksandrov (Moskva) MSC: 57R70 58E05 57Q10 53C99 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Taĭmanov, I. A. Finite-gap solutions to the modified Novikov-Veselov equations: their spectral properties and applications. (Russian, English) Zbl 1020.37048 Sib. Mat. Zh. 40, No. 6, 1352-1363 (1999); translation in Sib. Math. J. 40, No. 6, 1146-1156 (1999). Reviewer: Vladimir N. Grebenev (Novosibirsk) MSC: 37K20 35Q53 14H70 37K10 34L40 × Cite Format Result Cite Review PDF Full Text: arXiv EuDML
Rumin, Michel Differential geometry on C-C spaces and application to the Novikov-Shubin numbers of nilpotent Lie groups. (English. Abridged French version) Zbl 0982.53029 C. R. Acad. Sci., Paris, Sér. I, Math. 329, No. 11, 985-990 (1999). MSC: 53C17 58J10 22E25 53C30 × Cite Format Result Cite Review PDF Full Text: DOI
Hutchings, Michael; Lee, Yi-Jen Circle-valued Morse theory and Reidemeister torsion. (English) Zbl 0929.57019 Geom. Topol. 3, 369-396 (1999). MSC: 57R70 58E05 53C07 57Q10 57R57 37D15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv EuDML EMIS
Mathai, Varghese \(K\)-theory of twisted group \(C^*\)-algebras and positive scalar curvature. (English) Zbl 0942.46042 Farber, Michael (ed.) et al., Tel Aviv topology conference: Rothenberg Festschrift. Proceedings of the international conference on topology, Tel Aviv, Israel, June 1-5, 1998 dedicated to Mel Rothenberg on the occasion of his 65th birthday. Providence, RI: American Mathematical Society. Contemp. Math. 231, 203-225 (1999). MSC: 46L80 46L87 53C15 × Cite Format Result Cite Review PDF
Buchstaber, Victor M.; Ray, Nigel Operations and quantum doubles in complex oriented cohomology theory. (English) Zbl 0931.16020 Homology Homotopy Appl. 1, 169-185 (1999). Reviewer: Martin D.Crossley (Bonn) MSC: 16W30 55N20 55N22 55S25 57R77 × Cite Format Result Cite Review PDF Full Text: DOI EuDML EMIS
Higson, Nigel; Kasparov, Gennadi; Trout, Jody A Bott periodicity theorem for infinite dimensional Euclidean space. (English) Zbl 0911.46040 Adv. Math. 135, No. 1, 1-40 (1998). Reviewer: Diep Do Ngoc (Hanoi) MSC: 46L80 46L55 19K35 × Cite Format Result Cite Review PDF Full Text: DOI Link
Dombre, Thierry; Gilson, Jean-Louis Intermittency, chaos and singular fluctuations in the mixed Obukhov-Novikov shell model of turbulence. (English) Zbl 0947.76042 Physica D 111, No. 1-4, 265-287 (1998). MSC: 76F99 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Pazhitnov, A. V. The incidence coefficients in the Novikov complex are generically rational functions. (English. Russian original) Zbl 0899.58009 St. Petersbg. Math. J. 9, No. 5, 969-1006 (1998); translation from Algebra Anal. 9, No. 5, 92-139 (1997). Reviewer: V.Abramov (Tartu) MSC: 58E05 57R70 57R99 × Cite Format Result Cite Review PDF Full Text: arXiv
Pajitnov, A. Rationality and exponential growth properties of the boundary operators in the Novikov complex. (English) Zbl 0883.58036 Math. Res. Lett. 3, No. 4, 541-548 (1996). Reviewer: O.-P.Piirilä (Helsinki) MSC: 58J10 58C05 × Cite Format Result Cite Review PDF Full Text: DOI
Botvinnik, Boris I.; Kochman, Stanley O. Adams spectral sequence and higher torsion in \(MSp\). (English) Zbl 0866.55004 Publ. Mat., Barc. 40, No. 1, 157-193 (1996). Reviewer: J.McCleary (Strasbourg) MSC: 55N22 57R77 × Cite Format Result Cite Review PDF Full Text: DOI EuDML Link
Sheinman, O. K. The Krichever-Novikov algebras and CCC-groups. (English. Russian original) Zbl 0884.17015 Russ. Math. Surv. 50, No. 5, 1097-1099 (1995); translation from Usp. Mat. Nauk 50, No. 5, 253-254 (1995). MSC: 17B68 20H15 × Cite Format Result Cite Review PDF Full Text: DOI
Braverman, Maxim; Farber, Michael The Novikov-Bott inequalities. (English. Abridged French version) Zbl 0846.58016 C. R. Acad. Sci., Paris, Sér. I 321, No. 7, 897-902 (1995). Reviewer: B.V.Loginov (Ul’yanovsk) MSC: 58E05 × Cite Format Result Cite Review PDF Full Text: arXiv
Buchstaber, V. M. Semigroups of maps into groups, operator doubles, and complex cobordisms. (English) Zbl 0846.57023 Novikov, S. P. (ed.), Topics in topology and mathematical physics. Providence, RI: American Mathematical Society. Transl., Ser. 2, Am. Math. Soc. 170(27), 9-31 (1995). Reviewer: R.Kultze (Frankfurt am Main) MSC: 57R77 55N22 16W30 × Cite Format Result Cite Review PDF
Pazhitnov, Andrei Vladimirovich On the Novikov complex for rational Morse forms. (English) Zbl 0859.57031 Ann. Fac. Sci. Toulouse, VI. Sér., Math. 4, No. 2, 297-338 (1995). Reviewer: V.Moroz (Minsk) MSC: 57R30 55N35 58A10 55U15 × Cite Format Result Cite Review PDF Full Text: DOI Numdam EuDML
Shimomura, Katsumi; Yokotani, Masaaki Existence of the Greek letter elements in the stable homotopy groups of \(E(n)_ *\)-localized spheres. (English) Zbl 0824.55002 Publ. Res. Inst. Math. Sci. 30, No. 1, 139-150 (1994). Reviewer: J.Hodgson (Philadelphia) MSC: 55N22 55Q45 55T15 55N20 55P42 55Q10 57R77 × Cite Format Result Cite Review PDF Full Text: DOI
Ferry, Steven C.; Hambleton, Ian; Pedersen, Erik K. A survey of bounded surgery theory and applications. (English) Zbl 0840.57020 Carlsson, G. E. (ed.) et al., Algebraic topology and its applications. New York: Springer-Verlag. Math. Sci. Res. Inst. Publ. 27, 57-80 (1994). Reviewer: Gh.Pitiş (Braşov) MSC: 57R65 19J25 57R67 × Cite Format Result Cite Review PDF
Johnson, Keith Higher Ext groups of Hopf algebroids associated to formal \(A\)-modules. (English) Zbl 0778.55010 Commun. Algebra 21, No. 5, 1665-1680 (1993). Reviewer: R.Kultze (Frankfurt / Main) MSC: 55T15 55P42 18G15 18G40 16W30 × Cite Format Result Cite Review PDF Full Text: DOI
Lazarev, A. Yu. Novikov homologies in knot theory. (English. Russian original) Zbl 0796.57003 Math. Notes 51, No. 3, 259-262 (1992); translation from Mat. Zametki 51, No. 3, 53-57 (1992). Reviewer: S.V.Matveev (Chelyabinsk) MSC: 57M25 57R70 × Cite Format Result Cite Review PDF Full Text: DOI
Gromov, M.; Shubin, M. A. Near-cohomology of Hilbert complexes and topology of non-simply connected manifolds. (English) Zbl 0797.57016 Robert, D. (ed.), Méthodes semi-classiques, Volume 2. Colloque international (Nantes, juin 1991). Paris: Société Mathématique de France, Astérisque. 210, 283-294 (1992). Reviewer: W.Lück (Mainz) MSC: 57R57 58J99 × Cite Format Result Cite Review PDF
Ruffing, Andreas; Deck, Thomas; Schlichenmaier, Martin String branchings on complex tori and algebraic representations of generalized Krichever-Novikov algebras. (English) Zbl 0774.17027 Lett. Math. Phys. 26, No. 1, 23-32 (1992). MSC: 17B68 14H55 17B81 81R10 81T30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ravenel, Douglas C. Nilpotence and periodicity in stable homotopy theory. (English) Zbl 0774.55001 Annals of Mathematics Studies. 128. Princeton, NJ: Princeton University Press. xiv, 209 p. (1992). Reviewer: E.Ossa (Wuppertal) MSC: 55-02 55P42 55T25 × Cite Format Result Cite Review PDF Full Text: DOI
Bukhshtaber, V. M.; Kholodov, A. N. Formal groups, functional equations, and generalized cohomology theories. (English. Russian original) Zbl 0716.55006 Math. USSR, Sb. 69, No. 1, 77-97 (1991); translation from Mat. Sb. 181, No. 1, 75-94 (1990). MSC: 55N20 14L05 × Cite Format Result Cite Review PDF Full Text: DOI
Grinevich, P. G.; Orlov, A. Yu. Variations of the complex structure of Riemann surfaces by vector fields on a contour and objects of the KP theory. The Krichever-Novikov problem of the action on the Baker-Akhieser functions. (English. Russian original) Zbl 0719.30037 Funct. Anal. Appl. 24, No. 1, 61-63 (1990); translation from Funkts. Anal. Prilozh. 24, No. 1, 72-73 (1990). Reviewer: P.Maślanka (Łódź) MSC: 30F99 32G15 14H15 37B99 × Cite Format Result Cite Review PDF Full Text: DOI
Morava, Jack On the complex cobordism ring as a Fock representation. (English) Zbl 0698.55003 Homotopy theory and related topics, Proc. Int. Conf., Kinosaki/Japan 1988, Lect. Notes Math. 1418, 184-204 (1990). Reviewer: W.Singhof MSC: 55N22 55S25 57R32 17B65 × Cite Format Result Cite Review PDF Backlinks: MO
Bukhshtaber, V. M.; Kholodov, A. N. Formal groups, functional equations and generalized cohomology theories. (Russian) Zbl 0694.55008 Mat. Sb. 181, No. 1, 75-94 (1990). Reviewer: I.Pop (Iaşi) MSC: 55N20 14L05 × Cite Format Result Cite Review PDF Full Text: EuDML
Shiota, Takahiro The KP equation and the Schottky problem. (English. Russian original) Zbl 0736.14010 Sugaku Expo. 3, No. 2, 183-211 (1990); translation from Sûgaku 41, No. 1, 16-33 (1989). Reviewer: W.Kleinert (Berlin) MSC: 14H42 14K25 35Q53 14F10 14H40 × Cite Format Result Cite Review PDF
Mulase, Motohico KP equations, strings, and the Schottky problem. (English) Zbl 0699.14039 Algebraic analysis, Pap. Dedicated to Prof. Mikio Sato on the Occas. of his Sixtieth Birthday, Vol. 2, 473-492 (1989). Reviewer: W. W. J. Hulsbergen (Haarlem) MSC: 14H81 14H40 14H42 35Q53 37K20 81T30 × Cite Format Result Cite Review PDF
Pazhitnov, A. V. On the sharpness of the inequalities of Novikov type in the case \(\pi _ 1(M)=Z^ m\) for Morse forms whose cohomology classes are in general position. (English. Russian original) Zbl 0691.57013 Sov. Math., Dokl. 39, No. 3, 528-532 (1989); translation from Dokl. Akad. Nauk SSSR 306, No. 3, 544-548 (1989). Reviewer: N.Papaghiuc MSC: 57R70 58A10 57R65 57R99 × Cite Format Result Cite Review PDF
Pakulyak, S. Z. Monozonal solutions of graduated equations of the Korteweg-de Vries type. (Russian. English summary) Zbl 0708.35081 Dokl. Akad. Nauk Ukr. SSR, Ser. A 1988, No. 7, 15-20 (1988). Reviewer: A.M.Sermenev MSC: 35Q53 37K20 37K10 × Cite Format Result Cite Review PDF
Astey, L.; Gitler, S.; Micha, E.; Pastor, G. On Chern classes of stably fibre homotopic trivial bundles. (English) Zbl 0698.55015 Glasg. Math. J. 30, No. 2, 213-214 (1988). MSC: 55R40 × Cite Format Result Cite Review PDF Full Text: DOI
Fujii, Michikazu Operations associated with the G-equivariant unitary cobordism theory. (English) Zbl 0664.55011 Math. J. Okayama Univ. 30, 161-175 (1988). MSC: 55S91 55S25 55R40 55R91 55S10 57R20 × Cite Format Result Cite Review PDF
Taĭmanov, I. A. On an analogue of Novikov’s conjecture in a problem of Riemann-Schottky type for Prym varieties. (English. Russian original) Zbl 0685.14024 Sov. Math., Dokl. 35, 420-424 (1987); translation from Dokl. Akad. Nauk SSSR 293, 1065-1068 (1987). Reviewer: Y. Namikawa MSC: 14K30 35Q53 14H30 14H40 32G13 × Cite Format Result Cite Review PDF
Ravenel, Douglas C. Localization and periodicity in homotopy theory. (English) Zbl 0661.55013 Homotopy theory, Proc. Symp., Durham/Engl. 1985, Lond. Math. Soc. Lect. Note Ser. 117, 175-194 (1987). Reviewer: K.H.Knapp MSC: 55Q45 55P42 55T15 55N22 55P60 55S37 × Cite Format Result Cite Review PDF
Ivanovskij, L. N. Existence of non-Stong elements in the rational symplectic cobordism ring. (English. Russian original) Zbl 0649.57031 Sib. Math. J. 28, No. 4, 593-596 (1987); translation from Sib. Mat. Zh. 28, No. 4(164), 97-101 (1987). MSC: 57R90 55N22 57R77 14L05 × Cite Format Result Cite Review PDF Full Text: DOI
Shimada, Nobuo Errata to “An MU-analogue of the lambda algebra”. (English) Zbl 0643.55014 Publ. Res. Inst. Math. Sci. 23, No. 6, 1015 (1987). MSC: 55T15 55T25 55N22 57R77 × Cite Format Result Cite Review PDF Full Text: DOI
Ivanovskij, L. N. On the existence in the ring of rationally symplectic cobordisms of non- Stongian elements. (Russian) Zbl 0631.57023 Sib. Mat. Zh. 28, No. 4(164), 97-101 (1987). Reviewer: M.Golasiński MSC: 57R90 55N22 57R77 14L05 × Cite Format Result Cite Review PDF Full Text: EuDML