On the Metric Independent Exotic Homology

Details On the Metric Independent Exotic Homology On the Metric Independent Exotic Homology

2004-03-25

arxiv.org/abs/math/0403452v1

Mathematics

Differential Geometry

Latex, 11 pages

Scientific paper

Different types of nonstandard homology groups based on the various subcomplexes of differential forms are considered as a continuation of the recent authors works. Some of them reflect interesting properties of dynamical systems on the 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 of dealing with differential forms is used originated from the work of Witten in the Morse Theory (1982)and the authors work where some nonstandard analog of Morse Inequalities for vector fields was found (1986).

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