Hello everyone,
Today Duncan McCoy will be speaking in seminar. His title and abstract are below:
Title: Characterizing slopes for hyperbolic and torus knots
Speaker: Duncan McCoy, University of Texas
Date: Dec 4, 2018
Time: 2:30 PM
Room: MSCS 405
Abstract: Given a knot $K$ in $S^3$, we say that $p/q$ is a characterizing slope if the oriented homeomorphism type of $p/q$-surgery on $K$ is sufficient to uniquely determine the knot $K$. It is known that for a given torus knot all but finitely many non-integer slopes are characterizing and that for hyperbolic knots all but finitely many slopes with $q> 2$ are characterizing. I will discuss the proofs of both results, which have a surprising amount in common.
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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
