English

On the exotic De-Rham cohomology. Perturbation theory as a spectral sequence

Mathematical Physics 2007-05-23 v3 High Energy Physics - Theory Algebraic Topology Differential Geometry math.MP

Abstract

This work is dedicated to some new exotic homological constructions associated with the different Morse-type inequalities for differential forms and vector fields. It contains also survey of ideas developed by the present author in 1986 for this goal.

Keywords

Cite

@article{arxiv.math-ph/0201019,
  title  = {On the exotic De-Rham cohomology. Perturbation theory as a spectral sequence},
  author = {S. P. Novikov},
  journal= {arXiv preprint arXiv:math-ph/0201019},
  year   = {2007}
}

Comments

18 Pages, Latex, Theorem 1 is corrected, two more references added