The Yang-Mills Measure in the Kauffman Bracket Skein Module

Details The Yang-Mills Measure in the Kauffman Bracket Skein Module The Yang-Mills Measure in the Kauffman Bracket Skein Module

2000-05-23

arxiv.org/abs/math/0005218v1

Mathematics

Geometric Topology

14 pages

Scientific paper

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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