Bundle gerbes and the Weyl map

Abstract

This masters thesis reviews bundle gerbe theory and the well-known basic bundle gerbe over SU(n). We introduce the cup product bundle gerbe, and show it is stably isomorphic to the pullback of the basic bundle gerbe by the Weyl map. This result enriches our understanding of the basic bundle gerbe, which has numerous applications in physics.

Masters thesis, 120 pages

References in corpus (3)

• Construction and properties of a topological index for periodically driven time-reversal invariant 2D crystals
• Constructions with bundle gerbes
• The basic bundle gerbe on unitary groups

Cited by in corpus (1)

• The Weyl map and bundle gerbes