11 citations · 15 across the 5 of their papers we have counts for
10 papers
Frobenius Rational Loop Algebra
David Chataur, Jean-Claude Thomas
Recently R. Cohen and V. Godin have proved that the homology of the free loop space of a closed oriented manifold with coefficients in a field has the structure of a Frobenius alge…
Rational String Topology
Yves Felix, Jean-Claude Thomas, Micheline Vigue-Poirrier
We use the computational power of rational homotopy theory to provide an explicit cochain model for the loop product and the string bracket of a 1-connected closed manifold M. We p…
Massey products and configuration spaces
Yves Félix, Jean-Claude Thomas
The purpose of this paper is to compare two spectral sequences converging to the cohomology of a configuration space. The collapsing of these spectral sequences is established, in…
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 $…