3 papers
math.GT2000
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…
math.GT2000
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…
math.QA1999
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…