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A
remarkable DGmodule model for configuration spaces
Pascal Lambrechts and Don Stanley |
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Algebraic & Geometric Topology 8 (2008) 1191–1222
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Abstract |
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Let be a simply connected closed manifold and consider the (ordered) configuration space of points in . In this paper we construct a commutative differential graded algebra which is a potential candidate for a model of the rational homotopy type of . We prove that our model it is at least a –equivariant differential graded model. We also study Lefschetz duality at the level of cochains and describe equivariant models of the complement of a union of polyhedra in a closed manifold. |
Keywords
Poincaré duality, Lefschetz duality, Sullivan model,
configuration spaces
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Mathematical Subject Classification 2000
Primary: 55P62, 55R80
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References |
Publication
Received: 17 July 2007
Revised: 19 March 2008
Accepted: 20 May 2008
Published: 26 July 2008
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Authors |
| Pascal Lambrechts | |
| Chercheur qualifié au FNRS Université Catholique de Louvain Institut Mathématique Chemin du Cyclotron, 2 B-1348 Louvain-la-Neuve BELGIUM |
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| http://milnor.math.ucl.ac.be/plwiki/PascalLambrechtsProfessional/HomePage | |
| Don Stanley | |
| University of Regina Department of Mathematics College West 307.14 Regina, Saskatchewan S4S 0A2 Canada |
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