Thang T. Q. Le
Published 2015-11-19Version 1
We show how the quantum trace map of Bonahon and Wong can be constructed in a natural way using the skein algebra of Muller, which is an extension of the Kauffman bracket skein algebra of surfaces. We also show that the quantum Teichm\"uller space of a marked surface, defined by Chekhov-Fock (and Kashaev) in an abstract way, can be realized as a concrete subalgebra of the skew field of the skein algebra.
On multiplying curves in the Kauffman bracket skein algebra of the thickened four-holed sphere
Representations of the Kauffman bracket skein algebra III: closed surfaces and naturality
Frobenius Algebras Derived from the Kauffman Bracket Skein Algebra
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