S^1-Equivariant simplicial algebras and de Rham theory

Details S^1-Equivariant simplicial algebras and de Rham theory S^1-Equivariant simplicial algebras and de Rham theory

2009-04-21

arxiv.org/abs/0904.3256v1

Mathematics

Algebraic Geometry

French, 18 pages

Scientific paper

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.

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