Geodesic
On Metric-Independent Exotic Homology
Informatics and Automation, Nonlinear dynamics, Tome 251 (2005), pp. 215-222

Voir la notice de l'article provenant de la source Math-Net.Ru

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). 
@article{TRSPY_2005_251_a9,
     author = {S. P. Novikov},
     title = {On {Metric-Independent} {Exotic} {Homology}},
     journal = {Informatics and Automation},
     pages = {215--222},
     publisher = {mathdoc},
     volume = {251},
     year = {2005},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TRSPY_2005_251_a9/}
}
TY  - JOUR
AU  - S. P. Novikov
TI  - On Metric-Independent Exotic Homology
JO  - Informatics and Automation
PY  - 2005
SP  - 215
EP  - 222
VL  - 251
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TRSPY_2005_251_a9/
LA  - ru
ID  - TRSPY_2005_251_a9
ER  - 
%0 Journal Article
%A S. P. Novikov
%T On Metric-Independent Exotic Homology
%J Informatics and Automation
%D 2005
%P 215-222
%V 251
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TRSPY_2005_251_a9/
%G ru
%F TRSPY_2005_251_a9
S. P. Novikov. On Metric-Independent Exotic Homology. Informatics and Automation, Nonlinear dynamics, Tome 251 (2005), pp. 215-222. http://geodesic.mathdoc.fr/item/TRSPY_2005_251_a9/