Constructions with bundle gerbes

2003/12/09 by Stuart Johnson, Johnson, Stuart · 1 citation
Mathematics · #53C80 #55R65 #Differential Geometry (math.DG) #FOS: Mathematics #Finite Group Theory Research #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #math.DG #msc:53C80 #msc:55R65

paper · pdf · doi:10.48550/arxiv.math/0312175

PhD thesis, 137 pages

arxiv created 2003/12/09 · openalex publication_date 2003/12/09 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This thesis develops the theory of bundle gerbes and examines a number of useful constructions in this theory. These allow us to gain a greater insight into the structure of bundle gerbes and related objects. Furthermore they naturally lead to some interesting applications in physics.

Citations

• Gerbes in classical Chern-Simons theory
• Bundle Gerbes: Stable Isomorphism and Local Theory
• Holonomy on D-Branes

Cited by

• Type-I D-branes in an H-flux and twisted KO-theory
• Probing Tensor Monopoles and Gerbe Invariants in Three-Dimensional Topological Matter

Related

• An Introduction to Bundle Gerbes
• The Geometry of Bundle Gerbes
• Morita bundle gerbes
• Bundle gerbes and the Weyl map
• Gerbes and Lie Groups