The Yang-Mills measure in the Kauffman bracket skein module |
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| Authors: | D Bullock C Frohman J Kania-Bartoszynska |
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| Institution: | (1) Department of Mathematics, Boise State University, Boise, ID 83725, USA , US;(2) Department of Mathematics, University of Iowa, Iowa City, IA 52242, USA , US;(3) Department of Mathematics, Boise State University, Boise, ID 83725, USA , US |
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| Abstract: | For each closed, orientable surface , we construct a local, diffeomorphism invariant trace on the Kauffman bracket skein module . 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 .
Received: June 2, 2000 |
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| Keywords: | , Skein, quantum invariant, Kauffman bracket, trace, symplectic measure, |
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