Floer Homotopical Methods in Low Dimensional and Symplectic Topology Workshop: Annular Links, Double Branched Covers, and Annular Khovanov Homology

November 17, 2022
Given a link in the thickened annulus, you can construct an associated link in a closed 3-manifold through a double branched cover construction. In this talk we will see that perspective on annular links can be applied to show annular Khovanov homology detects certain braid closures. Unfortunately, this perspective does not capture all information about annular links. We will see a shortcoming of this perspective inspired by the wrapping conjecture of Hoste-Przytycki. This is partially joint work with Fraser Binns.