20 citations · 28 across the 6 of their papers we have counts for
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math.GT2007★ 20 cited
Local representations of the quantum Teichmuller space
Hua Bai, Francis Bonahon, Xiaobo Liu
We introduce a certain type of representations for the quantum Teichmuller space of a punctured surface, which we call local representations. We show that, up to finitely many choi…
math.GT2006★ 3 cited
Quantum hyperbolic invariants for diffeomorphisms of small surfaces
Xiaobo Liu
An earlier article with Francis Bonahon introduced new invariants for pseudo-Anosov diffeomorphisms of surface, based on the representation theory of the quantum Teichmuller space.…
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…