Rational String Topology

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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 prove that the loop homology of M is isomorphic to the Hochschild cohomology of the commutative graded algebra A_{PL}(M) with coefficients in itself. Some explicit computations of the loop product and the string bracket are given.

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

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http://salesiana.dossiersoluciones.com/handle/123456789/71720

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0406593
 http://arxiv.org/abs/math/0406593

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arXiv