The Yang-Mills Measure in the Kauffman Bracket Skein Module
Geometric Topology
2007-05-23 v1 Quantum Algebra
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.
Keywords
Cite
@article{arxiv.math/0005218,
title = {The Yang-Mills Measure in the Kauffman Bracket Skein Module},
author = {Doug Bullock and Charles Frohman and Joanna Kania-Bartoszynska},
journal= {arXiv preprint arXiv:math/0005218},
year = {2007}
}
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14 pages