S^1-equivariant Morse cohomology

Details S^1-equivariant Morse cohomology S^1-equivariant Morse cohomology

2012-04-12

arxiv.org/abs/1204.2802v1

Mathematics

Algebraic Topology

Scientific paper

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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