Minimal Models for Non-Free Circle Actions

Agusti Roig (1) , Martintxo Saralegi-Aranguren (2)

1 Departament de Matemàtica Aplicada I
2 LML - Laboratoire de Mathématiques de Lens

Let $\Phi \colon \sbat \times M \to M$ be a smooth action of the unit circle $ \sbat$ 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 $B$.

Mots clés: Action du cercle; Modèles minimaux

Domaines: Topologie algébrique [math.AT]; Géométrie différentielle [math.DG]

Agusti Roig, Martintxo Saralegi-Aranguren. Minimal Models for Non-Free Circle Actions. Illinois Journal of Mathematics, 2000, 44, pp.784-820. ⟨hal-00371701⟩