Existence of Perfect Morse Functions on Equivariantly Formal Spaces with Semi-free Circle Actions
نویسنده
چکیده
Assume M is a compact oriented manifold of dimension at least 8. Moreover, let M be equipped with an equivariantly formal semi-free circle action, which has finite, nonempty fixed point set. We prove M has a perfect invariant MorseSmale function. The major ingredient in the proof is a new cancellation theorem for the invariant Morse theory.
منابع مشابه
Existence of Perfect Morse Functions on Spaces with Semi-free Circle Action
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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