3 citations · 4 across the 5 of their papers we have counts for
6 papers
Evaluation Maps in Rational Homotopy
Yves Felix, Gregory Lupton
Let E be an H-space acting on a based space X. Then we refer to ev: E -> X, the map obtained by acting on the base point of X, as a ``generalized evaluation map." We establish seve…
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…
The cohomology algebra of unordered configuration spaces
Yves Felix, Daniel Tanré
Given an -dimensional compact manifold and a field $\bk$, F. Cohen and L. Taylor have constructed a spectral sequence, $\cE(M,n,\bk)$, converging to the cohomology of the sp…
Graded Lie algebras with finite polydepth
Y. Felix, S. Halperin, J. -C. Thomas
If A is a graded connected algebra then we define a new invariant, polydepth A, which is finite if for some A-module M of at most polynomial growth. Theorem 1…
Torsion primes in loop space homology
Y. Felix, S. Halperin, J. -C. Thomas
We construct a finite 1-connected CW complex X such that has p-torsion for the infinitely many primes satisfying p ~ 5,7,17,19 mod 24, but no p-torsion for the infinit…
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 $…