11 citations · 26 across the 13 of their papers we have counts for
13 papers
String topology on Gorenstein spaces
Yves Felix, Jean-claude Thomas
The purpose of this paper is to describe a general and simple setting for defining -string operations on a Poincaré duality space and more generally on a Gorenstein space.…
Rational BV-algebra in String Topology
Yves Felix, Jean-Claude Thomas
Let be a 1-connected closed manifold and be the space of free loops on . In \cite{C-S} M. Chas and D. Sullivan defined a structure of BV-algebra on the singular homolog…
Exponential growth of Lie algebras of finite global dimension
Yves Félix, Steve Halperin, Jean-Claude Thomas
Let be a finite simply connected CW complex of dimension . The loop space homology is the universal enveloping algebra of a graded Lie algebra is…
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…