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arXiv · 1204.2802

S^1-equivariant Morse cohomology

Marko Berghoff
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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.

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Marko Berghoff. 2012-04-12. S^1-equivariant Morse cohomology. https://arxiv.org/abs/1204.2802

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