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Operads and Γ-homology of commutative rings
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Robinson, Alan (C. Alan) and Whitehouse, Sarah Ann (2002) Operads and Γ-homology of commutative rings. Mathematical Proceedings of the Cambridge Philosophical Society, Vol.13 (No.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 Γ-homology, the natural homology theory for E[infty infinity]-algebras, and a cyclic version of it. Γ-homology specializes to a new homology theory for discrete commutative rings, very different in general from André–Quillen homology. We prove its general properties, including at base change and transitivity theorems. We give an explicit bicomplex for the Γ-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 | ||||
Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||
Library of Congress Subject Headings (LCSH): | Homology theory, Commutative rings, Associative algebras, Cohomology operations, Algebraic topology | ||||
Journal or Publication Title: | Mathematical Proceedings of the Cambridge Philosophical Society | ||||
Publisher: | Cambridge University Press | ||||
ISSN: | 0305-0041 | ||||
Official Date: | March 2002 | ||||
Dates: |
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Volume: | Vol.13 | ||||
Number: | No.2 | ||||
Page Range: | pp. 197-234 | ||||
DOI: | 10.1017/S0305004102005534 | ||||
Status: | Peer Reviewed | ||||
Access rights to Published version: | Open Access (Creative Commons) | ||||
Funder: | Fifth Framework Programme (European Commission) (FP5), Homotopy Theory Network (European Union) (HTN) |
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