S^1-equivariant Morse cohomology

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.

Cited by in corpus (1)

• Fukaya's conjecture on $S^1$-equivariant de Rham complex