16 citations · 17 across the 5 of their papers we have counts for
6 papers · 1 filter
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…
A bordism approach to string topology
David Chataur
Using intersection theory in the context of Hilbert manifolds and geometric homology we show how to recover the main operations of string topology built by M. Chas and D. Sullivan.…
E-infinity Cell Models for Free and Based Loop Space Cohomology
David Chataur, Jonathan A. Scott
We construct E-infinity cell algebra models for the cochain algebras of the free and based loop spaces on a simply-connected topological space. Techniques from rational homotopy th…
Fibrewise nullification and the cube theorem
David Chataur, Jerome Scherer
Our aim is to construct fibrewise localizations in model categories. For pointed spaces, the general idea is to decompose the total space of a fibration as a diagram over the categ…
Plus-construction for algebras over an operad, cyclic and Hochschild homologies up to homotopy
David Chataur, Jose Luis Rodriguez, Jerome Scherer
In this paper we apply homotopical localization to the framework of differential graded algebras over an operad. We get plus construction by performing nullification with respect t…
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…