An Atiyah-Hirzebruch spectral sequence for topological André-Quillen homology
type: Item
instance of: scholarly article
title: An Atiyah-Hirzebruch spectral sequence for topological André-Quillen homology
zbMATH Open document ID: 1070.55003
DOI: 10.1016/S0022-4049(01)00117-7
author: Birgit Richter
published in: Journal of Pure and Applied Algebra
publication date: 2002-08-22T00:00:00Z
review text: Let \(A\) be a commutative augmented algebra over a field \(k\). This paper establishes the existence of a spectral sequence convergent to \(TAQ_{p+q} (A\mid k; k)\) with \(E_2\) term \(TAQ_q(k[x]\mid k;k) \otimes AQ_p(A\mid k;k)\). Here \(AQ\) denotes the André-Quillen homology of \(A\) and \(TAQ\) denotes topological André-Quillen homology, by which the author means the Gamma homology of Robinson and Whitehouse. This spectral sequence is used to compute \(TAQ\) for truncated polynomial algebras.
reviewed by: Keith Johnson
Mathematics Subject Classification ID: 55P42
Mathematics Subject Classification ID: 55T99
Mathematics Subject Classification ID: 13D03
Mathematics Subject Classification ID: 55Q10
zbMATH DE Number: 1787439
zbMATH Keywords: André-Quillen homology
zbMATH Keywords: Gamma homology
zbMATH Keywords: Aityah-Hirzebruch spectral sequence
MaRDI profile type: Publication
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full work available at URL: s0022-4049(01)00117-7
OpenAlex ID: W2064164824
description: scientific article; zbMATH DE number 1787439