Claremont Topology Seminar: Scott Taylor (Colby College)
April 1 @ 3:00 pm - 4:00 pm
We especially welcome all undergraduates and graduate students to attend topology seminar!
Speaker: Scott Taylor (Colby College)
Title: Genus 1 Bridge Number of Satellite Knots in Lens Spaces
Abstract: In the mid-1950s, Horst Schubert introduced two ideas which turned out to have lasting impact in knot theory: satellite knots and bridge number. A Satellite knot is a knot which is tied in the shape of another knot (its companion). Wrapping number is one way of measuring how complicated the satellite knot is with respect to its companion. Bridge number is an invariant for knots and links in the 3-sphere. Schubert showed that the bridge number of a satellite knot is at least the wrapping number times the bridge number of the companion. I’ll give an overview of recent joint work with Maggy Tomova where we extend Schubert’s result to knots in lens spaces.
