A remarkable DG-module model for configuration spaces
| Autor: | Lambrechts, Pascal, Stanley, Don |
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| Rok vydání: | 2007 |
| Předmět: | |
| Zdroj: | Algebr. Geom. Topol. 8 (2008) 1191-1222 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.2140/agt.2008.8.1191 |
| Popis: | Let M be a simply-connected closed manifold and consider the (ordered) configuration space of $k$ points in M, F(M,k). In this paper we construct a commutative differential graded algebra which is a potential candidate for a model of the rational homotopy type of F(M,k). We prove that our model it is at least a Sigma_k-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. Comment: Minor revision |
| Databáze: | arXiv |
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