Department of Mathematics

Geometry and Topology

  •  Turaev-Viro invariants of links and the colored Jones polynomial
  •  01/19/2017
  •  2:00 PM - 2:50 PM
  •  C304 Wells Hall
  •  Renaud Detcherry, MSU

In a recent work by Tian Yang and Qingtao Chen, it has been observed that one can recover the hyperbolic volume from the asymptotic of Turaev-Viro invariants of 3-manifolds at a specific root of unity. This is reminiscent of the volume conjecture for the colored Jones polynomial. In the case of link complements, we derive a formula to express Turaev-Viro invariants as a sum of values of colored Jones polynomial, and get a proof of Yang and Chen's conjecture for a few link complements. We also discuss the link between this conjecture and the volume conjecture. This is joint work with Effie Kalfagianni and Tian Yang.

 

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