Classifying spaces of twisted loop groups
| العنوان: | Classifying spaces of twisted loop groups |
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| المؤلفون: | Thomas John Baird |
| المصدر: | Algebr. Geom. Topol. 16, no. 1 (2016), 211-229 |
| بيانات النشر: | Mathematical Sciences Publishers, 2016. |
| سنة النشر: | 2016 |
| مصطلحات موضوعية: | Pure mathematics, Classifying space, twisted conjugacy, gauge groups, 01 natural sciences, Cohomology ring, Loop group, 0103 physical sciences, FOS: Mathematics, Algebraic Topology (math.AT), Order (group theory), Equivariant cohomology, loop groups, classifying spaces, Mathematics - Algebraic Topology, 22E67, 0101 mathematics, 57S15, Mathematics, twisted adjoint action, 010308 nuclear & particles physics, 010102 general mathematics, Lie group, Automorphism, equivariant cohomology, Loop (topology), Geometry and Topology |
| الوصف: | We study the classifying space of a twisted loop group $L_{\sigma}G$ where $G$ is a compact Lie group and $\sigma$ is an automorphism of $G$ of finite order modulo inner automorphisms. Equivalently, we study the $\sigma$-twisted adjoint action of $G$ on itself. We derive a formula for the cohomology ring $H^*(BL_{\sigma}G)$ 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. Comment: 16 pages; resubmitted version; incorporated referee suggestions and filled a gap in a proof |
| وصف الملف: | application/pdf |
| تدمد: | 1472-2739 1472-2747 |
| DOI: | 10.2140/agt.2016.16.211 |
| URL الوصول: | https://explore.openaire.eu/search/publication?articleId=doi_dedup___::59e85074ad98afbf3f5c8e458c26ec41 https://doi.org/10.2140/agt.2016.16.211 |
| Rights: | OPEN |
| رقم الانضمام: | edsair.doi.dedup.....59e85074ad98afbf3f5c8e458c26ec41 |
| قاعدة البيانات: | OpenAIRE |
| تدمد: | 14722739 14722747 |
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| DOI: | 10.2140/agt.2016.16.211 |