Hello everyone,

Tomorrow I am speaking in seminar. I am actually speaking about a question Robert asked about in seminar back when we are in person. My title and abstract are below:

Title: Recovering knot diagrams from triangulations

Speaker: Neil Hoffman, Oklahoma State University

Date: Apr 21, 2021

Time: 3:30 PM

Room: https://meet.google.com/frv-bgow-byi

Abstract: While the study of knots originally was related to manipulating knot diagrams, one often studies knots by analyzing their complements. In fact, Gordon and Luecke showed two knots are equivalent if and only if their complements are homeomorphic. There are wellknown procedures for constructing a knot complement from a knot diagram. We will analyze the problem from the other perspective: constructing a knot diagram from a triangulated knot complement and describe an algorithm to produce such a diagram. This is joint work Robert Haraway, Saul Schleimer and Eric Sedgwick.

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Neil R. Hoffman Assistant Professor Department of Mathematics 523 Math Science Building Oklahoma State University Stillwater, OK 74078-1058 405-744-7791 http://math.okstate.edu/people/nhoffman