Abstract
An earlier article [Bonahon, F., Liu, X. B.: Representations of the quantum Teichmüller space and invariants of surface diffeomorphisms. Geom. Topol., 11, 889–937 (2007)] introduced new invariants for pseudo-Anosov diffeomorphisms of surface, based on the representation theory of the quantum Teichmüller 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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Bonahon, F., Liu, X. B.: Representations of the quantum Teichmüller space and invariants of surface diffeomorphisms. Geom. Topol., 11, 889–937 (2007)
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Partially supported by NSF grant DMS-0103511 at the University of Southern California
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Liu, X. Quantum hyperbolic invariants for diffeomorphisms of small surfaces. Acta. Math. Sin.-English Ser. 28, 759–770 (2012). https://doi.org/10.1007/s10114-011-0094-8
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DOI: https://doi.org/10.1007/s10114-011-0094-8