Existence of perfect Morse functions on spaces with semi-free circle action

Details Existence of perfect Morse functions on spaces with semi-free circle action Existence of perfect Morse functions on spaces with semi-free circle action

2002-02-15

arxiv.org/abs/math/0202149v2

Mathematics

Geometric Topology

16 pages

Scientific paper

Let $M$ be a compact oriented simply-connected manifold of dimension at least
8. Assume $M$ is equipped with a torsion-free semi-free circle action with
isolated fixed points. We prove $M$ has a perfect invariant Morse-Smale
function. The major ingredient in the proof is a new cancellation theorem for
the invariant Morse theory.

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