Topology Seminar

Speaker: 
Puttipong Pongtanapaisan
Topic: 
"Uniqueness of weak reducing pairs for bridge surfaces"

Abstract: 
A bridge sphere for a knot is a sphere transverse to the knot separating the maxima of the knot from the minima. Some simple closed curves on the bridge sphere will bound essential disks in the knot complement on at least one side. In this talk, I will exhibit infinitely many examples of knots, whose canonical bridge spheres admit a unique disjoint pair of simple closed curves bounding essential disks on distinct sides. This is joint work with Daniel Rodman.

Event Date: 
September 19, 2019 - 2:00pm to 3:00pm
Location: 
217 MLH
Calendar Category: 
Seminar
Seminar Category: 
Geometry and Topology