The Yang-Mills measure in the Kauffman bracket skein module

D Bullock; C Frohman; J Kania-Bartoszynska

doi:10.1007/s000140300000

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The Yang-Mills measure in the Kauffman bracket skein module

Journal article

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The Yang-Mills measure in the Kauffman bracket skein module

D Bullock, C Frohman and J Kania-Bartoszynska

Commentarii Mathematici Helvetici, Vol.78(1), pp.1-17

02/2003

DOI: 10.1007/s000140300000

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Abstract

For each closed, orientable surface $\Sigma_g$ , we construct a local, diffeomorphism invariant trace on the Kauffman bracket skein module $K_t(\Sigma_g \times I)$ . 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 $\Sigma_g$ .

Skein, quantum invariant, Kauffman bracket, trace, symplectic measure

Details

Title: Subtitle: The Yang-Mills measure in the Kauffman bracket skein module
Creators: D Bullock - Department of Mathematics, Boise State University, Boise, ID 83725, USA US
C Frohman - Department of Mathematics, University of Iowa, Iowa City, IA 52242, USA US
J Kania-Bartoszynska - Department of Mathematics, Boise State University, Boise, ID 83725, USA US
Resource Type: Journal article
Publication Details: Commentarii Mathematici Helvetici, Vol.78(1), pp.1-17
Publisher: Birkhäuser Verlag; Basel
DOI: 10.1007/s000140300000
ISSN: 0010-2571
eISSN: 1420-8946
Language: English
Date published: 02/2003
Academic Unit: Mathematics
Record Identifier: 9983985967602771

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