The Teichmüller TQFT volume conjecture for twist knots

Date:
24.05.2018

Speaker:
Fathi Ben Aribi

Time:
15:45

Abstract: (joint work with E. PiguetNakazawa) In 2014, Andersen and Kashaev defined an infinitedimensional TQFT from the Quantum Teichmüller theory. This Teichmüller TQFT is an invariant of triangulated 3manifolds, in particular knot complements.
The associated volume conjecture stated that the Teichmüller TQFT of an hyperbolic knot complement contains the volume of the knot as a certain asymptotical coefficient, and AndersenKashaev proved this conjecture for the first two hyperbolic knots.
In this talk I will present the construction of the Teichmüller TQFT and how we approached this volume conjecture for the infinite family of twist knots : in particular, we proved the conjecture for several new examples of knots, up to 13 crossings.
No prerequisites from quantum topology will be necessary.

Place:
2.059 (20.30)