A proof of Kosniowski conjecture

Abstract

Let $M$ be a unitary $S^1$-manifold with only isolated fixed points such that $M$ is not a boundary. We show that $4\chi (M)>\dim M$, where $\chi (M)$ is the Euler characteristic of $M$. This gives an affirmative answer of Kosniowski conjecture.

Updated version with minor typos corrected and a result of oriented case added; v2 with typos and a minor mistake corrected

References in corpus (1)

• Circle actions on almost complex manifolds with isolated fixed points