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.
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Pré-publication, Document de travail
14 pages. 2005
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https://hal.archives-ouvertes.fr/hal-00137922
Contributeur : Import Arxiv <>
Soumis le : jeudi 22 mars 2007 - 15:15:43
Dernière modification le : lundi 5 février 2018 - 15:00:03

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David Chataur, Jean-Claude Thomas. Frobenius Rational Loop Algebra. 14 pages. 2005. 〈hal-00137922〉

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