Configuration spaces are not homotopy invariant
Algebraic Topology
2007-05-23 v1
Abstract
We present a counterexample to the conjecture on the homotopy invariance of configuration spaces. More precisely, we consider the lens spaces and , and prove that their configuration spaces are not homotopy equivalent by showing that their universal coverings have different Massey products.
Cite
@article{arxiv.math/0401075,
title = {Configuration spaces are not homotopy invariant},
author = {Riccardo Longoni and Paolo Salvatore},
journal= {arXiv preprint arXiv:math/0401075},
year = {2007}
}
Comments
6 pages