Minimal models for non-free circle actions

Abstract

Let $\Phi:\mathbb{S}^{1} \times M \rightarrow M$ be a smooth action of the unit circle $\mathbb{S}^{1}$ on a manifold $M$. In this work, we compute the minimal model of $M$ in terms of the orbit space $B$ and the fixed point set $F \subset B$, as a dg-module over the Sullivan's minimal model of $B$.