A remarkable DGmodule model for configuration spaces
(2008) Algebraic And Geometric Topology — Vol. 8, n° 2, p. 1191-1222 (2008)
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- Abstract
- Let M be a simply connected closed manifold and consider the (ordered) configuration space F(M, k) of k points in M. 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.
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Lambrechts, P., & Stanley, D. (2008). A remarkable DGmodule model for configuration spaces. Algebraic And Geometric Topology, 8(2), 1191-1222. https://doi.org/10.2140/agt.2008.8.1191 (Original work published 2008)