The Yang-Mills Measure in the Kauffman Bracket Skein Module

Doug Bullock; Charles Frohman; Joanna Kania-Bartoszynska

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The Yang-Mills Measure in the Kauffman Bracket Skein Module

Doug Bullock·Charles Frohman·Joanna Kania-Bartoszynska

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Abstract

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 neither 0 nor 1, and at certain roots of unity. At t = - 1, the trace is integration against the symplectic measure on the SU(2) character variety of the fundamental group of F.

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Doug Bullock, Charles Frohman, Joanna Kania-Bartoszynska. 2000-05-23. The Yang-Mills Measure in the Kauffman Bracket Skein Module. https://arxiv.org/abs/math/0005218

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