On the homotopy invariance of configuration spaces
Algebraic Topology
2014-10-01 v3 Geometric Topology
Abstract
For a closed PL manifold M, we consider the configuration space F(M,k) of ordered k-tuples of distinct points in M. We show that a suitable iterated suspension of F(M,k) is a homotopy invariant of M. The number of suspensions we require depends on three parameters: the number of points k, the dimension of M and the connectivity of M. Our proof uses a mixture of Poincare embedding theory and fiberwise algebraic topology.
Keywords
Cite
@article{arxiv.math/0310483,
title = {On the homotopy invariance of configuration spaces},
author = {Mokhtar Aouina and John R. Klein},
journal= {arXiv preprint arXiv:math/0310483},
year = {2014}
}
Comments
Published by Algebraic and Geometric Topology at http://www.maths.warwick.ac.uk/agt/AGTVol4/agt-4-35.abs.html