A new formulation of the Teichmüller TQFT

2013/05/18 by Jørgen Ellegaard Andersen, Andersen, Jørgen Ellegaard, Rinat Kashaev +1 · 2 citations
Mathematics · #Algebraic structures and combinatorial models #Advanced Combinatorial Mathematics #Geometric and Algebraic Topology

paper · pdf · doi:10.48550/arxiv.1305.4291

Abstract

By using the Weil-Gel'fand-Zak transform of Faddeev's quantum dilogarithm, we propose a new state-integral model for the Teichmüller TQFT, where the circle valued state variables live on the edges of oriented leveled shaped triangulations.

Citations

• Invariants of 3-manifolds via link polynomials and quantum groups

Cited by

• Resurgence Analysis of Meromorphic Transforms
• Conformal Turaev-Viro Theory

Related

• A TQFT from quantum Teichmüller theory
• An edge-type state integral over local field and A-polynomials
• A TQFT of Turaev-Viro type on shaped triangulations
• Asymptotic aspects of the Teichmüller TQFT
• Topological QFT