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Adam Saltz, University of Georgia – Topology Seminar
March 26, 2018 @ 3:15 pm - 4:30 pm
3:15 pm in Physics 119 at Duke University
Title: Link homology and Floer homology in pictures by cobordisms
Abstract: There are no fewer than eight link homology theories which admit spectral sequences from Khovanov homology. These theories have very different origins — representation theory, gauge theory, symplectic topology — so it’s natural to ask for some kind of unifying theory. I will attempt to describe this theory using Bar-Natan’s pictorial formulation of link homology. This strengthens a result of Baldwin, Hedden, and Lobb and proves new functoriality results for several link homology theories. I won’t assume much specific knowledge of these link homology theories, and the bulk of the talk will be accessible to graduate students!