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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2005, Volume 251, Pages 215–222 (Mi tm51)  

This article is cited in 5 scientific papers (total in 5 papers)

On Metric-Independent Exotic Homology

S. P. Novikov

University of Maryland
Full-text PDF (165 kB) Citations (5)
References:
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
Bibliographic databases:
Document Type: Article
UDC: 512.662.1+515.142.21
Language: Russian
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
Citation in format AMSBIB
\Bibitem{Nov05}
\by S.~P.~Novikov
\paper On Metric-Independent Exotic Homology
\inbook Nonlinear dynamics
\bookinfo Collected papers
\serial Trudy Mat. Inst. Steklova
\yr 2005
\vol 251
\pages 215--222
\publ Nauka, MAIK «Nauka/Inteperiodika»
\publaddr M.
\mathnet{http://mi.mathnet.ru/tm51}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2234383}
\zmath{https://zbmath.org/?q=an:1119.58003}
\transl
\jour Proc. Steklov Inst. Math.
\yr 2005
\vol 251
\pages 206--212
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  • https://www.mathnet.ru/eng/tm/v251/p215
  • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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    Abstract page:587
    Full-text PDF :209
    References:93
     
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