Recovering knot diagrams from triangulations Neil Hoffman, Oklahoma State University Host: Neil Hoffman Contact the speaker or the host for the seminar link.
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 well-known 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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