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The Yang-Mills measure in the Kauffman Bracket Skein Algebra
by
Charles Frohman
The University of Iowa
The Kauffman Bracket skein algebra K(F) is a quantization of the SU(2)-characters of the fundamantal group of the surface F. The Yang-Mills measure is a trace on K(F) that quantizes the symplectic measure on the SU(2)-character variety. We discuss the combinatotial evaluation of the meausure, and its use in showing that a three manifold is not simply connected.
Date received: February 22, 2002
Copyright © 2002 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # caik-51.