A model for non-free circle actions

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Title:	A model for non-free circle actions
Author:	Roig Martí, Agustín; Saralegi-Aranguren, Martintxo
Other authors:	Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I; Universitat Politècnica de Catalunya. EGSA - Equacions Diferencials, Geometria, Sistemes Dinàmics i de Control, i Aplicacions
Abstract:	Let $\Phi: \Bbb S^{1}\times M\longrightarrow M$ be a smooth action of the unit circle $\Bbb S^{1}$ 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 $B$.
Subject(s):	-Homotopy theory -Topological transformation groups -circle actions -Homotopia, Teoria de l' -Grups de transformació topològica -Classificació AMS::57 Manifolds and cell complexes::57S Topological transformation groups -Classificació AMS::55 Algebraic topology::55P Homotopy theory
Rights:	Attribution-NonCommercial-NoDerivs 2.5 Spain http://creativecommons.org/licenses/by-nc-nd/2.5/es/
Document type:	Article
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