Operadic Hochschild chain complex and free loop spaces

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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 to homotopy, we show that this complex computes the singular cohomology of the free loop space over this topological space.
13 pages

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Algebraic Topology, Quantum Algebra, 55U35, 18Dxx, 55P15, 55P60

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http://salesiana.dossiersoluciones.com/handle/123456789/65802

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0211415
 http://arxiv.org/abs/math/0211415

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arXiv