摘要
An earlier article [Bonahon, F., Liu, X. B.： Representations of the quantum Teichmfiller 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 Teichmiiller space. We explicitly compute these quantum hyperbolic invariants in the case of the 1-puncture torus and the 4-puncture sphere.
An earlier article [Bonahon, F., Liu, X. B.： Representations of the quantum Teichmfiller 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 Teichmiiller space. We explicitly compute these quantum hyperbolic invariants in the case of the 1-puncture torus and the 4-puncture sphere.
基金
Partially supported by NSF grant DMS-0103511 at the University of Southern California
