HKR Theorem for Smooth S-algebras

2003/06/16 by Randy McCarthy, McCarthy, Randy, Vahagn Minasian +1
Mathematics · #55P42 #Algebraic Topology (math.AT) #FOS: Mathematics #math.AT #msc:55P42

paper · pdf · doi:10.48550/arxiv.math/0306243

23 pages

arxiv created 2003/06/16 · arxiv updated 2009/11/30

Abstract

We derive an étale descent formula for topological Hochschild homology and prove a HKR theorem for smooth S-algebras.

Related

• S¹-Equivariant simplicial algebras and de Rham theory
• Differential forms on smooth operadic algebras
• An HKR theorem for factorization homology
• Hochschild Cohomology for Complex Spaces and Noetherian Schemes
• Functoriality of HKR isomorphisms