Skip to content Skip to navigation
University of Warwick
  • Study
  • |
  • Research
  • |
  • Business
  • |
  • Alumni
  • |
  • News
  • |
  • About

University of Warwick
Publications service & WRAP

Highlight your research

  • WRAP
    • Home
    • Search WRAP
    • Browse by Warwick Author
    • Browse WRAP by Year
    • Browse WRAP by Subject
    • Browse WRAP by Department
    • Browse WRAP by Funder
    • Browse Theses by Department
  • Publications Service
    • Home
    • Search Publications Service
    • Browse by Warwick Author
    • Browse Publications service by Year
    • Browse Publications service by Subject
    • Browse Publications service by Department
    • Browse Publications service by Funder
  • Help & Advice
University of Warwick

The Library

  • Login
  • Admin

Operads and Γ-homology of commutative rings

Tools
- Tools
+ Tools

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.

[img]
Preview
PDF
WRAP_robinson_operads.pdf - Requires a PDF viewer.

Download (708Kb)
Official URL: http://dx.doi.org/10.1017/S0305004102005534

Request Changes to record.

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
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:
DateEvent
March 2002Published
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)

Request changes or add full text files to a record

Repository staff actions (login required)

View Item View Item

Downloads

Downloads per month over past year

View more statistics

twitter

Email us: wrap@warwick.ac.uk
Contact Details
About Us