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math.GT2004
The quantum Teichmuller space as a noncommutative algebraic object
Xiaobo Liu
We consider the quantum Teichmuller space of the punctured surface introduced by Chekhov-Fock-Kashaev, and formalize it as a noncommutative deformation of the space of algebraic fu…
math.GT2004★ 36 cited
Representations of the quantum Teichmuller space, and invariants of surface diffeomorphisms
Francis Bonahon, Xiaobo Liu
We investigate the representation theory of the polynomial core of the quantum Teichmuller space of a punctured surface S. This is a purely algebraic object, closely related to the…