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Quantum in variants of three manifolds equipped with an SL(2, C) representation of its fundamental group.
by
Charles Frohman
University of Iowa
We begin by reviewing the structure of the Kauffman Bracket Skein Algebra at a root of unity,
And it's relation to the ring of SL(2,C) characters of the fundamental group of the surface.
Next we show how this gives rise to invariants of three-manifolds that fiber over the circle.
Finally, we outline how this can give rise to a field theory.
Date received: September 28, 2015
Copyright © 2015 by the author(s). The author(s) of this work and the organizers of the conference have granted their consent to include this abstract in Topology Atlas. Document # cblw-03.