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Topology/Geometry Seminar

Totally geodesic surfaces in twist knot complements

Khanh Le (Temple University)

Location:  zoom link:
Date & time: Tuesday, 09 February 2021 at 3:50PM - 4:50PM

The study of surfaces has been essential in studying the geometry and topology of the 3-manifolds that contain them. In particular, there has been considerable work in understanding the existence of totally geodesic surfaces in hyperbolic 3-manifolds. Most recently, Bader, Fisher, Miller, and Stover showed that having infinitely many maximal totally geodesic surfaces implies that the 3-manifold is arithmetic. In this talk, we will present examples of infinitely many non-commensurable (non-arithmetic) hyperbolic 3-manifolds that contain exactly k totally geodesic surfaces for every positive integer k. This is a joint work with Rebekah Palmer. 

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