Department of Mathematics

Geometry and Topology

  •  Tian Yang, Texas A&M University
  •  Relative Reshetikhin-Turaev invariants and hyperbolic cone metrics on 3-manifolds
  •  09/15/2020
  •  3:00 PM - 4:00 PM
  •  Online (virtual meeting)

We propose the Volume Conjecture for the relative Reshetikhin-Turaev invariants of a closed oriented 3-manifold with a colored framed link inside it whose asymptotic behavior is related to the volume and the Chern-Simons invariant of the hyperbolic cone metric on the manifold with singular locus the link and cone angles determined by the coloring, and prove the conjecture for a number of families of examples. This provides a possible approach of solving the Volume Conjecture for the Reshetikhin-Turaev invariants of closed oriented hyperbolic 3-manifolds. A large part of this work is joint with Ka Ho Wong. https://msu.zoom.us/j/92550015779?pwd=azRER2p1Sm5CWWRML3lHbVQyWDU1QT09

 

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Michigan State University
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