63 citations · 227 across the 8 of their papers we have counts for
12 papers
Coherent loop states and angular momentum
Bruce Bartlett, Nzaganya Nzaganya
We study Bohr-Sommerfeld states in the context of the irreducible representations of SU(2). These states offer a precise bridge between the classical and quantum descriptions of an…
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…
Modular categories as representations of the 3-dimensional bordism 2-category
Bruce Bartlett, Christopher L. Douglas, Christopher J. Schommer-Pries +1
We show that once-extended anomalous 3-dimensional topological quantum field theories valued in the 2-category of k-linear categories are in canonical bijection with modular tensor…
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…