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math.AT2004
Configuration spaces are not homotopy invariant
Riccardo Longoni, Paolo Salvatore
We present a counterexample to the conjecture on the homotopy invariance of configuration spaces. More precisely, we consider the lens spaces and , and prove tha…
math.AT2003
Configuration spaces on the sphere and higher loop spaces
Paolo Salvatore
We show that the homology over a field of the space of free maps from the n-sphere to the n-fold suspension of X depends only on the cohomology algebra of X and compute it explicit…
math.AT2001
Framed discs operads and the equivariant recognition principle
Paolo Salvatore, Nathalie Wahl
The framed n-discs operad fD_n is studied as semidirect product of SO(n) and the little n-discs operad. Our equivariant recognition principle says that a grouplike space acted on b…