Greenlees, J. orcid.org/0000-0002-9855-3337 (2016) Rational equivariant cohomology theories with toral support. Algebraic and Geometric Topology, 16. pp. 1953-2019. ISSN 1472-2747
Abstract
For an arbitrary compact Lie group GG, we describe a model for rational GG–spectra with toral geometric isotropy and show that there is a convergent Adams spectral sequence based on it. The contribution from geometric isotropy at a subgroup KK of the maximal torus of GG is captured by a module over H∗(BWeG(K))H∗(BWGe(K)) with an action of π0(WG(K))π0(WG(K)), where WeG(K)WGe(K) is the identity component of WG(K)=NG(K)∕KWG(K)=NG(K)∕K.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © 2015 Mathematical Sciences Publishers (MSP). This is an author produced version of a paper subsequently published in Algebraic and Geometric Topology. Uploaded in accordance with the publisher's self-archiving policy. |
Keywords: | rational equivariant spectra; algebraic models; Adams spectral sequence; reduction to torus normalizer |
Dates: |
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Institution: | The University of Sheffield |
Academic Units: | The University of Sheffield > Faculty of Science (Sheffield) > School of Mathematics and Statistics (Sheffield) |
Funding Information: | Funder Grant number ENGINEERING AND PHYSICAL SCIENCE RESEARCH COUNCIL (EPSRC) EP/C52084X/1 ENGINEERING AND PHYSICAL SCIENCE RESEARCH COUNCIL (EPSRC) EP/H040692/1 |
Depositing User: | Symplectic Sheffield |
Date Deposited: | 14 Dec 2016 10:28 |
Last Modified: | 24 Mar 2018 15:48 |
Published Version: | http://dx.doi.org/10.2140/agt.2016.16.1953 |
Status: | Published |
Publisher: | Mathematical Sciences Publishers (MSP) |
Refereed: | Yes |
Identification Number: | 10.2140/agt.2016.16.1953 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:109066 |