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Operads and Gamma-homology of'commutative rings
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UNSPECIFIED (2002) Operads and Gamma-homology of'commutative rings. MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 132 (Part 2). pp. 197-234. doi:10.1017/S0305004102005534 ISSN 0305-0041.
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Official URL: http://dx.doi.org/10.1017/S0305004102005534
Abstract
We introduce Gamma-homology, the natural homology theory for E-infinity-algebras, and a cyclic version of it. Gamma-homology specializes to a new homology theory for discrete commutative rings, very different in general from Andre-Quillen homology. We prove its general properties, including flat base change and transitivity theorems. We give an explicit bicomplex for the Gamma-homology of a discrete algebra, and elucidate connections with stable homotopy theory.
Item Type: | Journal Article | ||||
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Subjects: | Q Science > QA Mathematics | ||||
Journal or Publication Title: | MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY | ||||
Publisher: | CAMBRIDGE UNIV PRESS | ||||
ISSN: | 0305-0041 | ||||
Official Date: | March 2002 | ||||
Dates: |
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Volume: | 132 | ||||
Number: | Part 2 | ||||
Number of Pages: | 38 | ||||
Page Range: | pp. 197-234 | ||||
DOI: | 10.1017/S0305004102005534 | ||||
Publication Status: | Published |
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