Session Knot Theory

Skeins, characters and trace

Joanna Kania-BartoszyƄska, National Science Foundation, USA
We will describe the structure of the Kaufman Bracket Skein Module of a connected sum of \(S^1\times S^2\)'s and its relationship to \(SL(2,\mathbb{C})\)-characters of the fundamental group. Structure of the skein module of a compact oriented surface with boundary is needed for a skein theoretic construction of a field theory underlying quantum hyperbolic geometry.
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