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2016 Classifying spaces of twisted loop groups
Thomas J Baird
Algebr. Geom. Topol. 16(1): 211-229 (2016). DOI: 10.2140/agt.2016.16.211

Abstract

We study the classifying space of a twisted loop group LσG, where G is a compact Lie group and σ is an automorphism of G of finite order modulo inner automorphisms. Equivalently, we study the σ–twisted adjoint action of G on itself. We derive a formula for the cohomology ring H(BLσG) and explicitly carry out the calculation for all automorphisms of simple Lie groups. More generally, we derive a formula for the equivariant cohomology of compact Lie group actions with constant rank stabilizers.

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Thomas J Baird. "Classifying spaces of twisted loop groups." Algebr. Geom. Topol. 16 (1) 211 - 229, 2016. https://doi.org/10.2140/agt.2016.16.211

Information

Received: 8 May 2014; Revised: 25 May 2015; Accepted: 16 June 2015; Published: 2016
First available in Project Euclid: 16 November 2017

zbMATH: 1337.22011
MathSciNet: MR3470700
Digital Object Identifier: 10.2140/agt.2016.16.211

Subjects:
Primary: 22E67
Secondary: 57S15

Rights: Copyright © 2016 Mathematical Sciences Publishers

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