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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.QA2000
A matrix model for quantum SL_2
C. Frohman, J. Kania-Bartoszynska
We describe a topological ribbon Hopf algebra whose elements are sequences of matrices. The algebra is a quantum version of U(sl_2).
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…