11 citations · 15 across the 5 of their papers we have counts for
4 papers · 1 filter
Operadic Hochschild chain complex and free loop spaces
David Chataur, Jean-Claude Thomas
We construct for any algebra over an operad an Hochschild chain complex. In the case of the singular cochain complex of a topological space, considered as a commutative algebra up…
Duality in Gerstenhaber algebras
Yves Félix, Luc Menichi, Jean-Claude Thomas
Let be a differential graded coalgebra, the Adams cobar construction and the dual algebra. We prove that for a large class of coalgebras there is a natur…
Spaces of self-equivalences and free loops spaces
Yves Felix, Jean-Claude Thomas
Let M be a simply-connected closed oriented N-dimensional manifold. We prove that for any field of coefficients there exists a natural homomorphism of commutative graded algebras $…
Loop homology algebra of a closed manifold
Yves Félix, Jean-Claude Thomas, Micheline Vigué-Poirrier
The loop homology of a closed orientable manifold of dimension is the ordinary homology of the free loop space with degrees shifted by , i.e. $\mathbb H_*(M^{S…