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.



Department of Mathematics
Michigan State University
619 Red Cedar Road
C212 Wells Hall
East Lansing, MI 48824

Phone: (517) 353-0844
Fax: (517) 432-1562

College of Natural Science