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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
Linking options:
  • https://www.mathnet.ru/eng/tm51
  • https://www.mathnet.ru/eng/tm/v251/p215
  • This publication is cited in the following 5 articles:
    1. Morozov I O., “Nonlinear Nonisospectral Differential Coverings For the Hyper-Cr Equation of Einstein?Weyl Structures and the Gibbons?Tsarev Equation”, Differ. Geom. Appl., 75 (2021), 101740  crossref  mathscinet  isi  scopus
    2. Morozov I O., “Isospectral Deformation of the Reduced Quasi-Classical Self-Dual Yang?Mills Equation”, Differ. Geom. Appl., 76 (2021), 101742  crossref  mathscinet  isi
    3. Ihsane Malass, Nikolai Tarkhanov, “A perturbation of the de Rham complex”, Zhurn. SFU. Ser. Matem. i fiz., 13:5 (2020), 519–532  mathnet  crossref
    4. Morozov O.I., “Lax Representations With Non-Removable Parameters and Integrable Hierarchies of Pdes Via Exotic Cohomology of Symmetry Algebras”, J. Geom. Phys., 143 (2019), 150–163  crossref  mathscinet  isi
    5. Novikov S.P., “Dynamical Systems and Differential Forms. Low Dimensional Hamiltonian Systems”, Geometric and Probabilistic Structures in Dynamics, Contemporary Mathematics Series, 469, 2008, 271–287  crossref  mathscinet  zmath  isi
    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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