Skip to Main content Skip to Navigation
Preprints, Working Papers, ...

Frobenius Rational Loop Algebra

Abstract : 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 algebra without counit. In this short note we prove that when the characteristic of the field is zero and when the manifold is 1-connected the algebraic structure depends only on the rational homotopy type of the manifold. We build an algebraic model and use it to do some computations.
Document type :
Preprints, Working Papers, ...
Complete list of metadata
Contributor : Import Arxiv <>
Submitted on : Thursday, March 22, 2007 - 3:15:43 PM
Last modification on : Monday, March 9, 2020 - 6:15:53 PM

Links full text




David Chataur, Jean-Claude Thomas. Frobenius Rational Loop Algebra. 2005. ⟨hal-00137922⟩



Record views