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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2005, Volume 251, Pages 215–222
(Mi tm51)
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This article is cited in 5 scientific papers (total in 5 papers)
On Metric-Independent Exotic Homology
S. P. Novikov University of Maryland
Abstract:
Different types of nonstandard homology groups based on various subcomplexes of differential forms are considered as a continuation of author's recent works. Some of them reflect interesting properties of dynamical systems on compact manifolds. In order to study them, a special perturbation theory in the form of spectral sequences is developed. In some cases, a convenient fermionic formalism dealing with differential forms is used that originated from the work of Witten on the Morse theory (1982) and the author's work in which a nonstandard analog of the Morse inequalities for vector fields was found (1986).
Received in April 2005
Citation:
S. P. Novikov, “On Metric-Independent Exotic Homology”, Nonlinear dynamics, Collected papers, Trudy Mat. Inst. Steklova, 251, Nauka, MAIK «Nauka/Inteperiodika», M., 2005, 215–222; Proc. Steklov Inst. Math., 251 (2005), 206–212
Linking options:
https://www.mathnet.ru/eng/tm51 https://www.mathnet.ru/eng/tm/v251/p215
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