UBC Topology Seminar: Claudius Zibrowius (Online)

In the past four years, a number of immersed curve invariants have emerged in low-dimensional topology. Hanselman, Rasmussen and Watson used their immersed curve invariant for 3-manifolds with torus boundary to give an elegant proof of the fact that the space of L-space fillings of such 3-manifolds is always an interval. I will discuss some progress towards analogous results for 4-ended tangles in Heegaard Floer, Bar-Natan and Khovanov homology. This is joint work with Liam Watson and Artem Kotelskiy.