Frobenius Rational Loop Algebra

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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.
14 pages

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Algebraic Topology, Geometric Topology, 55P35; 54N45; 55N33; 17A65; 81T30; 17B55

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http://salesiana.dossiersoluciones.com/handle/123456789/71750

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0407014
 http://arxiv.org/abs/math/0407014

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arXiv