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Rational equivariant cohomology theories with toral support
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Greenlees, John (2016) Rational equivariant cohomology theories with toral support. Algebraic and Geometric Topology, 16 . pp. 1953-2019. doi:10.2140/agt.2016.16.1953 ISSN 1472-2747.
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Official URL: http://dx.doi.org/10.2140/agt.2016.16.1953
Abstract
For an arbitrary compact Lie group G, we describe a model for rational
G–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 K of the maximal torus of G is captured by a module over H∗(BWeG (K)) with an action of π0(WG(K)), where WeG(K) is the identity component ofWG(K)=NG(K)∕K.
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): | Cohomology operations, Weyl groups, Lie groups, Algebra, Homological | ||||||
Journal or Publication Title: | Algebraic and Geometric Topology | ||||||
Publisher: | Mathematical Sciences Publishers | ||||||
ISSN: | 1472-2747 | ||||||
Official Date: | 12 September 2016 | ||||||
Dates: |
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Volume: | 16 | ||||||
Page Range: | pp. 1953-2019 | ||||||
DOI: | 10.2140/agt.2016.16.1953 | ||||||
Status: | Peer Reviewed | ||||||
Publication Status: | Published | ||||||
Access rights to Published version: | Restricted or Subscription Access | ||||||
Date of first compliant deposit: | 20 March 2018 | ||||||
Date of first compliant Open Access: | 21 March 2018 | ||||||
Adapted As: |
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