Hyperbolicity and Turaev Hyperbolicity of Classical and Virtual Knots by Prof. Colin Adams
Fri, February 1st, 2019
1:00 pm - 1:45 pm
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Hyperbolicity and Turaev Hyperbolicity of Classical and Virtual Knots by Prof. Colin Adams, Friday, February 1, 2019, 1 – 1:45 pm, Stetson Court Classroom 109, Mathematics Faculty Seminar
Abstract: In 1978, Thurston showed that all knots are either torus knots, satellite knots or hyperbolic knots . Being hyperbolic means there is a whole collection of geometric invariants that can be associated to the knot, including for instance the hyperbolic volume of the complement. In SMALL, 2018, we extended the notion of hyperbolicity first to virtual knots and then to Turaev surfaces associated to knot diagrams. This allows every knot to have a associated hyperbolic volume.