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-Anoso...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.展开更多
基金Partially supported by NSF grant DMS-0103511 at the University of Southern California
文摘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.