Basic gerbe over non-simply connected compact groups

2003/07/01 by Krzysztof Gawędzki, Krzysztof Gawedzki, Nuno Reis · 1 citation
Mathematics · Physics and Astronomy · #Advanced Operator Algebra Research #Algebra over a field #Algebraic structures and combinatorial models #Combinatorics #Homotopy and Cohomology in Algebraic Topology #Mathematics #Pure mathematics #Simply connected space #Topology (electrical circuits) #hep-th #math.DG #msc:22E70

paper · pdf · doi:10.1016/j.geomphys.2003.11.004

27 pages, latex, 8 incorporated figures

arxiv created 2003/07/01 · openalex publication_date 2004/01/27 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We present an explicit construction of the basic bundle gerbes with connection over all connected compact simple Lie groups. These are geometric objects that appear naturally in the Lagrangian approach to the WZW conformal field theories. Our work extends the recent construction of E. Meinrenken \citeMeinr restricted to the case of simply connected groups.

Citations

• Lectures on Special Lagrangian Submanifolds
• Gerbes on complex reductive Lie groups
• Discrete Torsion and Gerbes II
• Topological quantization and cohomology
• Bundle Gerbes: Stable Isomorphism and Local Theory
• Bundle Gerbes
• Discrete Torsion and Gerbes I

Cited by

• An Explicit Construction of \mathbbS¹-Gerbes over the Stack [G/G]