Knot Homology, Fusion Numbers, and Symmetric Unions

Series
Geometry Topology Seminar
Time
Monday, November 13, 2023 - 4:30pm for 1 hour (actually 50 minutes)
Location
University of Georgia (Boyd 303)
Speaker
Michael Willis – Texas A&M
Organizer
Austin Christian

I will discuss a mixture of results and conjectures related to the Khovanov homology and Knot Floer homology for ribbon knots. We will explore relationships with fusion numbers (a measure of complexity on ribbon disks) and particular families of symmetric unions (ribbon knots given by particular diagrams). This is joint work with Nathan Dunfield, Sherry Gong, Tom Hockenhull, and Marco Marengon.