Low Dimensional Topology and Circle-valued Morse Functions

Explore the intricacies of annular links and their associated constructions in this 57-minute conference talk by Gage Martin from the Massachusetts Institute of Technology. Delve into the world of double branched covers and their application in constructing links in closed 3-manifolds from links in the thickened annulus. Discover how this perspective on annular links can be utilized to demonstrate that annular Khovanov homology detects certain braid closures. Examine the limitations of this approach, particularly in light of the Hoste-Przytycki wrapping conjecture. Gain insights into ongoing research, including collaborative work with Fraser Binns, in the field of low-dimensional topology and circle-valued Morse functions.