Rational equivariant cohomology theories with toral support

Greenlees, J P C

doi:10.2140/agt.2016.16.1953

Download this article
	For screen
	For printing

Recent Issues

The Journal

About the Journal

Editorial Board

Editorial Interests

Subscriptions

Submission Guidelines

Submission Page

Policies for Authors

Ethics Statement

ISSN (electronic): 1472-2739

ISSN (print): 1472-2747

Author Index

To Appear

Other MSP Journals

Rational equivariant cohomology theories with toral support

J P C Greenlees

Algebraic & Geometric Topology 16 (2016) 1953–2019

DOI: 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 $H^{*} (B W_{G}^{e} (K))$ with an action of $π_{0} (W_{G} (K))$ , where $W_{G}^{e} (K)$ is the identity component of $W_{G} (K) = N_{G} (K) ∕ K$ .

Keywords

rational equivariant spectra, algebraic models, Adams spectral sequence, reduction to torus normalizer

Mathematical Subject Classification 2010

Primary: 55N91, 55P42, 55P91

Secondary: 55P92, 55T15

References

Publication

Received: 15 January 2015

Revised: 29 October 2015

Accepted: 6 November 2015

Published: 12 September 2016

Authors

J P C Greenlees
School of Mathematics and Statistics University of Sheffield Hicks Building Sheffield S3 7RH United Kingdom

Volume 16, issue 4 (2016)