Quantum hyperbolic invariants for diffeomorphisms of small surfaces

Mathematics – Geometric Topology

Scientific paper

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Scientific paper

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. We explicity compute these quantum hyperbolic
invariants in the case of the 1-puncture torus and the 4-puncture sphere.

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