Ribbon homology cobordism

Series
Geometry Topology Seminar
Time
Monday, October 19, 2020 - 2:00pm for 1 hour (actually 50 minutes)
Location
Speaker
Shea Vela Vick – Louisiana State University – shea@math.lsu.eduhttp://vela-vick.com/
Organizer
Miriam Kuzbary

A cobordism between 3-manifolds is ribbon if it is built from handles of index no greater than 2. Such cobordisms arise naturally from several different topological and geometric contexts. In this talk, we discuss these objects and present a few obstructions to their existence, from Thurston geometries, character varieties, and instanton and Heegaard Floer homologies. This is joint work with Aliakbar Daemi, Tye Lidman, and Mike Wong.