S^1-equivariant Morse cohomology
Algebraic Topology
2012-04-13 v1 Differential Geometry
Abstract
We construct a deformed Morse complex computing the equivariant cohomology of a manifold M endowed with a smooth S^1-action. The deformation of the coboundary operator is given by counting gradient flow lines of a Morse function f that are allowed to "jump" along orbits of the S^1-action for finite time intervalls.
Keywords
Cite
@article{arxiv.1204.2802,
title = {S^1-equivariant Morse cohomology},
author = {Marko Berghoff},
journal= {arXiv preprint arXiv:1204.2802},
year = {2012}
}