HKR theorem for smooth \(S\)-algebras.

DOI10.1016/S0022-4049(03)00089-6zbMath1051.55005arXivmath/0306243MaRDI QIDQ1414065

Vahagn Minasian, Randy McCarthy

Publication date: 19 November 2003

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0306243

zbMATH Keywords

Hochschild-Kostant-Rosenberg theoremsmooth maps of \(S\)-algebras

Mathematics Subject Classification ID

(Co)homology of commutative rings and algebras (e.g., Hochschild, André-Quillen, cyclic, dihedral, etc.) (13D03) Spectra with additional structure ((E_infty), (A_infty), ring spectra, etc.) (55P43)

Related Items (11)

Algebraic extensions of an Eilenberg-Mac Lane spectrum in the category of ring spectra ⋮ Higher topological Hochschild homology of periodic complex K-theory ⋮ Topological cyclic homology via the norm ⋮ Derived algebraic geometry ⋮ On the relationship between logarithmic TAQ and logarithmic THH ⋮ Computational tools for topological coHochschild homology ⋮ Homotopical algebraic geometry. I: Topos theory ⋮ Splittings and calculational techniques for higher THH ⋮ A spectrum-level Hodge filtration on topological Hochschild homology ⋮ Hyperdescent and étale \(K\)-theory ⋮ Thom spectra, higher THH and tensors in \(\infty\)-categories

Cites Work

• Étale descent for Hochschild and cyclic homology
• \(THH(R) \cong R \otimes S^ 1\) for \(E_ \infty\) ring spectra
• \(E_{\infty}\) algebras and \(p\)-adic homotopy theory
• André--Quillen spectral sequence for \(THH\).
• André-Quillen cohomology of commutative \(S\)-algebras
• Deriving calculus with cotriples
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