We present a counterexample to the conjecture on the homotopy invariance of configuration spaces. More precisely, we consider the lens spaces L-7,L-1 and L-7,L-2, and prove that their configuration spaces are not homotopy equivalent by showing that their universal coverings have different Massey products. (C) 2004 Elsevier Ltd. All rights reserved.
Longoni, R., Salvatore, P. (2005). Configuration spaces are not homotopy invariant. TOPOLOGY, 44(2), 375-380 [10.1016/j.top.2004.11.002].
Configuration spaces are not homotopy invariant
SALVATORE, PAOLO
2005-01-01
Abstract
We present a counterexample to the conjecture on the homotopy invariance of configuration spaces. More precisely, we consider the lens spaces L-7,L-1 and L-7,L-2, and prove that their configuration spaces are not homotopy equivalent by showing that their universal coverings have different Massey products. (C) 2004 Elsevier Ltd. All rights reserved.File in questo prodotto:
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