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An algebraic model for rational torus-equivariant spectra

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Greenlees, John and Shipley, Brooke (2018) An algebraic model for rational torus-equivariant spectra. Journal of Topology, 11 (3). pp. 666-719. doi:10.1112/topo.12060 ISSN 1753-8416.

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Official URL: https://doi.org/10.1112/topo.12060

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Abstract

We provide a universal de Rham model for rational G ‐equivariant cohomology theories for an arbitrary torus G . More precisely, we show that the representing category, of rational G ‐spectra, is Quillen equivalent to the explicit small and calculable algebraic model d A ( G ) of differential graded objects in the category A ( G ) introduced in [Greenlees, J. Pure Appl. Algebra 212 (2008) 72–98].

Item Type: Journal Article
Subjects: Q Science > QA Mathematics
Divisions: Faculty of Science, Engineering and Medicine > Science > Mathematics
Library of Congress Subject Headings (LCSH): Torus (Geometry), Cohomology operations
Journal or Publication Title: Journal of Topology
Publisher: Wiley-Blackwell Publishing Ltd.
ISSN: 1753-8416
Official Date: September 2018
Dates:
DateEvent
September 2018Published
22 June 2018Available
1 May 2018Accepted
Volume: 11
Number: 3
Page Range: pp. 666-719
DOI: 10.1112/topo.12060
Status: Peer Reviewed
Publication Status: Published
Reuse Statement (publisher, data, author rights): "This is the peer reviewed version of the following article: Greenlees, J. P. and Shipley, B. (2018), An algebraic model for rational torus‐equivariant spectra. Journal of Topology, 11: 666-719., which has been published in final form at https://doi.org/10.1112/topo.12060. This article may be used for non-commercial purposes in accordance with Wiley Terms and Conditions for Use of Self-Archived Versions."
Access rights to Published version: Restricted or Subscription Access
Date of first compliant deposit: 10 May 2018
Date of first compliant Open Access: 4 October 2018
RIOXX Funder/Project Grant:
Project/Grant IDRIOXX Funder NameFunder ID
EP/H040692/1[EPSRC] Engineering and Physical Sciences Research Councilhttp://dx.doi.org/10.13039/501100000266
DMS-0417206National Science Foundationhttp://dx.doi.org/10.13039/100000001
DMS-0706877National Science Foundationhttp://dx.doi.org/10.13039/100000001
DMS-1104396National Science Foundationhttp://dx.doi.org/10.13039/100000001
DMS-1406468National Science Foundationhttp://dx.doi.org/10.13039/100000001
UNSPECIFIEDAlfred P. Sloan Foundationhttp://dx.doi.org/10.13039/100000879
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