S^1-Equivariant simplicial algebras and de Rham theory

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.

French, 18 pages

References in corpus (1)

• Equivalences of monoidal model categories

Cited by in corpus (6)

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• Dimensional reduction in cohomological Donaldson-Thomas theory
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• The global derived period map
• Monadicity of localization for Lie super-algebras $\mathfrak{gl}(m,n)$