Right-veering open books and the Upsilon invariant

Geometry Topology Seminar
Monday, April 5, 2021 - 2:00pm for 1 hour (actually 50 minutes)
Diana Hubbard – Brooklyn College, CUNY – diana.hubbard@brooklyn.cuny.eduhttps://sites.google.com/site/dianadhubbard/
Siddhi Krishna

Fibered knots in a three-manifold Y can be thought of as the binding of an open book decomposition for Y. A basic question to ask is how properties of the open book decomposition relate to properties of the corresponding knot. In this talk I will describe joint work with Dongtai He and Linh Truong that explores this: specifically, we can give a sufficient condition for the monodromy of an open book decomposition of a fibered knot to be right-veering from the concordance invariant Upsilon.  I will discuss some applications of this work, including an application to the Slice-Ribbon conjecture.