41 citations · 42 across the 2 of their papers we have counts for
4 papers
On unitary 2-representations of finite groups and topological quantum field theory
Bruce Bartlett
This thesis contains various results on unitary 2-representations of finite groups and their 2-characters, as well as on pivotal structures for fusion categories. The motivation is…
The geometry of unitary 2-representations of finite groups and their 2-characters
Bruce Bartlett
Motivated by topological quantum field theory, we investigate the geometric aspects of unitary 2-representations of finite groups on 2-Hilbert spaces, and their 2-characters. We sh…
Categorical Aspects of Topological Quantum Field Theories
Bruce H. Bartlett
This thesis provides an introduction to the various category theory ideas employed in topological quantum field theory. These theories are viewed as symmetric monoidal functors fro…
Flow Equations for Hamiltonians from Continuous Unitary Transformations
Bruce Henry Bartlett
This thesis presents an overview of the flow equations recently introduced by Wegner. The little known mathematical framework of the flow in the manifold of unitarily equivalent ma…