S^1-Equivariant simplicial algebras and de Rham theory

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This is a companion paper our previous submission "\infty-categories monoidales rigides et caracteres de Chern", in which we give a comparison between functions on the derived loop space of a smooth scheme of caracteristic zero, and its algebraic de Rham cohomology. As a consequence we obtain functorial and multiplicative versions of the HKR decomposition theorem relating Hochschild homology and Hodge cohomology.
French, 18 pages

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Algebraic Geometry, Algebraic Topology

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http://salesiana.dossiersoluciones.com/handle/123456789/227916

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0904.3256
 http://arxiv.org/abs/0904.3256

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arXiv