Department of Mathematics

Geometry and Topology

  •  Cameron Gates Rudd, Max Planck Institute, Bonn
  •  Untriangulating knots
  •  12/06/2022
  •  3:00 PM - 4:00 PM
  •  Online (virtual meeting) (Virtual Meeting Link)
  •  Vijay B Higgins (

Knots are determined by their exteriors and producing a triangulation of the exterior given a knot diagram is computationally simple. Taking a three manifold that is a knot exterior however, and turning it into a knot diagram is not. I will discuss a practical algorithm for finding a diagram of a knot, given a triangulation of its exterior. Our method, when given a little bit of extra data, applies to links as well as knots, and allows us to recover links with hundreds of crossings. This is joint work with Nathan Dunfield and Malik Obeidin.



Department of Mathematics
Michigan State University
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