15 citations · 38 across the 10 of their papers we have counts for
10 papers
The Kauffman bracket skein module of a twist knot exterior
Doug Bullock, Walter Lo Faro
We compute the Kauffman bracket skein module of the complement of a twist knot, finding that it is free and infinite dimensional. The basis consists of cables of a two-component li…
The Kauffman bracket skein as an algebra of observables
D. Bullock, C. Frohman, J. Kania-Bartoszynska
We prove that the Kauffman bracket skein algebra of a cylinder over a surface with boundary, defined over complex numbers, is isomorphic to the observables of an appropriate lattic…
The Yang-Mills Measure in the Kauffman Bracket Skein Module
Doug Bullock, Charles Frohman, Joanna Kania-Bartoszynska
For each closed, orientable surface F, we construct a local, diffeomorphism invariant trace on the Kauffman bracket skein module K_t(F x [0,1]). The trace is defined when |t| is ne…
Multiplicative structure of Kauffman bracket skein module quantizations
Doug Bullock, Jozef H. Przytycki
We describe, for a few small examples, the Kauffman bracket skein algebra of a surface crossed with an interval. If the surface is a punctured torus the result is a quantization of…
Skein Modules and Lattice Gauge Field Theory
Doug Bullock, Charles Frohman, Joanna Kania-Bartoszynska
See q-alg/9710003 for the corrected version of this paper.
Topological Interpretations of Lattice Gauge Field Theory
Doug Bullock, Charles Frohman, Joanna Kania-Bartoszyńska
We construct lattice gauge field theory based on a quantum group on a lattice of dimension 1. Innovations include a coalgebra structure on the connections, and an investigation of…