3d Quantum Trace Map

  • Sam Panitch (Yale University)
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In 2010, Bonahon and Wong constructed the 2d quantum trace map, connecting two different quantizations of the SL_2(C) character variety of an ideally triangulated hyperbolic surface S. The classical limit of this map expresses the trace of the holonomy of a closed immersed curve in S as a Laurent polynomial in the (square roots of the) shear coordinates for the hyperbolic structure defined with respect to the triangulation. In this talk, we will discuss a new construction of a 3d quantum trace map for ideally triangulated 3-manifolds, focusing on the geometric aspects. This is joint work with Sunghyuk Park.

Katharina Matschke

MPI for Mathematics in the Sciences Contact via Mail

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