Constructions with bundle gerbes
arXiv:math/0312175
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.
PhD thesis, 137 pages
References in corpus (12)
- Twisted K-theory and K-theory of bundle gerbes
- Higher Algebraic Structures and Quantization
- Geometry of Deligne cohomology
- The Geometry of Bundle Gerbes
- Bundle Gerbes Applied to Quantum Field Theory
- Holonomy and parallel transport for Abelian gerbes
- Higher bundle gerbes and cohomology classes in gauge theories
- Analogues of Discrete Torsion for the M-Theory Three-Form
- Holonomy on D-Branes
- Discrete Torsion and Branes in M-theory from Mathematical Viewpoint
- Gerbes in classical Chern-Simons theory
- Homotopy quantum field theories and tortile structures
Cited by in corpus (19)
- Bundle gerbes for Chern-Simons and Wess-Zumino-Witten theories
- Gerbes, M5-Brane Anomalies and E_8 Gauge Theory
- The index of projective families of elliptic operators: the decomposable case
- Type I D-branes in an H-flux and twisted KO-theory
- Fluxes, bundle gerbes and 2-Hilbert spaces
- String Connections and Chern-Simons Theory
- Categorical Structures on Bundle Gerbes and Higher Geometric Prequantisation
- Gerbe-holonomy for surfaces with defect networks
- Smooth Fock bundles, and spinor bundles on loop space
- Non-commutative Weitzenboeck geometry, gerbe modules, and WZW branes
- Bigerbes
- Geometric and topological aspects of Type IIB D-branes
- Multiplicative Bundle Gerbes with Connection
- The Weyl map and bundle gerbes
- Bundle gerbes and the Weyl map
- Equivariant Cartan-Eilenberg supergerbes II. Equivariance in the super-Minkowskian setting
- Gerbes in Geometry, Field Theory, and Quantisation
- Extended Field Theories as higher Kaluza-Klein theories
- The higher-algebraic skeleton of the superstring -- a case study