2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/63349Let $M$ 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.16 pagesGeometric TopologySymplectic Geometrytext