Higher bundle gerbes and cohomology classes in gauge theories

1995/11/24 by Alan L. Carey, A. L. Carey, M. K. Murray +3 · 1 citation
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebra over a field #Bundle #Characteristic class #Cohomology #De Rham cohomology #Equivariant cohomology #Fiber bundle #Gauge (firearms) #Gauge theory #Geometry and complex manifolds #Homotopy and Cohomology in Algebraic Topology #Mathematical physics #Mathematics #Physics #Pure mathematics #Quantum mechanics #Realisation #dg-ga #hep-th #math.DG

paper · pdf · doi:10.1016/s0393-0440(96)00014-9

published as J.Geom.Phys.21:183-197,1997 · 16 pages, LaTeX

arxiv created 1995/11/24 · openalex publication_date 1997/01/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

The notion of a higher bundle gerbe is introduced to give a geometric realization of the higher degree integral cohomology of certain manifolds. We consider examples using the infinite dimensional spaces arising in gauge theories.

Citations

• Mathematical remarks on the cohomology of gauge groups and anomalies

Cited by

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