Algebraic & Geometric Topology
- Algebr. Geom. Topol.
- Volume 8, Number 2 (2008), 1191-1222.
A remarkable DGmodule model for configuration spaces
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.
Algebr. Geom. Topol., Volume 8, Number 2 (2008), 1191-1222.
Received: 17 July 2007
Revised: 19 March 2008
Accepted: 20 May 2008
First available in Project Euclid: 20 December 2017
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Lambrechts, Pascal; Stanley, Don. A remarkable DGmodule model for configuration spaces. Algebr. Geom. Topol. 8 (2008), no. 2, 1191--1222. doi:10.2140/agt.2008.8.1191. https://projecteuclid.org/euclid.agt/1513796860