Quantum hyperbolic invariants for diffeomorphisms of small surfaces

Abstract

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.

arXiv commentA mistake was corrected

Cited by in corpus (2)

• Representations of the quantum Teichmuller space, and invariants of surface diffeomorphisms
• Quantum Teichmuller theory and representations of the pure braid group