2005/04/22 by Ulrich Bunke, Bunke, Ulrich, Ingo Schroeder +1
Mathematics · #19K99 #19L47 #22E67 #Advanced Operator Algebra Research #Differential Geometry (math.DG) #FOS: Mathematics #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #K-Theory and Homology (math.KT) #math.DG #math.KT #msc:19K99 #msc:19L47 #msc:22E67
paper · pdf · doi:10.48550/arxiv.math/0504458
57 pages
arxiv created 2005/04/22 · openalex publication_date 2005/04/22 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The goal of the present paper is the calculation of the equivariant twisted K-theory of a compact Lie group which acts on itself by conjugations, and elements of a TQFT-structure on the twisted K-groups. These results are originally due to D.S.Freed, M.J.Hopkins and C.Teleman. In this paper we redo their calculations in the framework of topological and differentiable stacks. We also show how moduli spaces of flat connections on surfaces give rise to trivializations of twists.