The quantum Teichmuller space as a noncommutative algebraic object

Details The quantum Teichmuller space as a noncommutative algebraic object The quantum Teichmuller space as a noncommutative algebraic object

2004-08-26

arxiv.org/abs/math/0408361v3

Mathematics

Geometric Topology

Revised version. 15 pages, 4 figures, AmsLaTeX file. A few misprints corrected

Scientific paper

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 functions on the Teichmuller space of the surface. In
order to apply it in 3-dimensional topology, we put more attention to the
details involving small surfaces.

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