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Topology/Geometry Seminar

An explicit formula for the adjoint twisted Reidemeister torsion

Tian Yang (TAMU)

Location:  Hill 705
Date & time: Tuesday, 22 March 2022 at 3:50PM - 4:50PM

In this talk, I will present an explicit formula we found for the Reidemeister torsion of a closed oriented hyperbolic 3-manifold twisted by the adjoint action of the holonomy representation of the fundamental group of the manifold. This is to the best of our knowledge the first known explicit formula for such quantity. In the formula, we consider the manifolds as obtained by doing hyperbolic Dehnfillings along a universal family of cusped hyperbolic 3-manifolds known as the fundamental shadow links, and the torsion is expressed in terms of the logarithmic holonomy of the meridians of the fundamental shadow links. This is a joint work with Ka Ho Wong.

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