63 citations · 227 across the 8 of their papers we have counts for
7 papers · 1 filter
Three-dimensional TQFTs via string-nets and two-dimensional surgery
Bruce Bartlett
If is a spherical fusion category, the string-net construction associates to each closed oriented surface the vector space of linear combinations of -la…
Reciprocity of the Wigner derivative for spherical tetrahedra
Bruce Bartlett, V. Hosana Ranaivomanana
The Wigner derivative is the partial derivative of dihedral angle with respect to opposite edge length in a tetrahedron, all other edge lengths remaining fixed. We compute the inve…
Extended TQFTs via Generators and Relations I: The Extended Toric Code
Bruce Bartlett, Gerrit Goosen
In his PhD thesis, Goosen combined the string-net and the generators-and-relations formalisms for arbitrary once-extended 3-dimensional TQFTs. In this paper we work this out in det…
Fusion categories via string diagrams
Bruce Bartlett
We use the string diagram calculus to give graphical proofs of the basic results of Etingof, Nikshych and Ostrik on fusion categories. These results include: the quadruple dual is…
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…