S^1-Equivariant simplicial algebras and de Rham theory
Algebraic Geometry
2009-04-22 v1 Algebraic Topology
Abstract
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.
Keywords
Cite
@article{arxiv.0904.3256,
title = {S^1-Equivariant simplicial algebras and de Rham theory},
author = {B. Toen and G. Vezzosi},
journal= {arXiv preprint arXiv:0904.3256},
year = {2009}
}
Comments
French, 18 pages