Topological André--Quillen cohomology and \(E_{\infty}\) André--Quillen cohomology
type: Item
instance of: scholarly article
title: Topological André--Quillen cohomology and \(E_{\infty}\) André--Quillen cohomology
zbMATH Open document ID: 1027.55009
DOI: 10.1016/S0001-8708(02)00017-8
author: Michael A. Mandell
published in: Advances in Mathematics
publication date: 2003-08-17T00:00:00Z
review text: This paper is concerned with two topological generalisations of André-Quillen cohomology which was originally defined for commutative rings. The first of these generalisations is the André-Quillen cohomology of an \(E_\infty\) simplicial algebra with constant coefficients, and the second is the topological André-Quillen cohomology of an \(E_\infty\) ring spectrum with an Eilenberg-MacLane spectrum as coefficients. In both cases, it is shown that the cohomology is isomorphic to the André-Quillen cohomology of an associated \(E_\infty\) differential graded algebra.
reviewed by: Richard John Steiner
Mathematics Subject Classification ID: 55P43
Mathematics Subject Classification ID: 18G55
Mathematics Subject Classification ID: 13D03
Mathematics Subject Classification ID: 18D50
zbMATH DE Number: 1965024
zbMATH Keywords: Andre-Quillen cohomology
zbMATH Keywords: E-infinity ring spectrum
MaRDI profile type: Publication
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full work available at URL: s0001-8708(02)00017-8
OpenAlex ID: W2042979018
description: scientific article; zbMATH DE number 1965024