UBC Topology Seminar: Mihai Marian (Online)

Looming in the background of my project, like some spooky mountain, is the L-space conjecture. Let’s just say that L-spaces are homology Lens spaces (with respect to Heegaard Floer homology) and there is a difficult question concerning them. One way to get a handle on L-spaces is to construct them by doing Dehn surgery on knots. In this talk, I will explain what (1,1) knots are, how to compute their Heegaard Floer homology and I will present the simple method due to Greene, Lewallen and Vafaee for checking almost instantly whether a (1,1) knot admits a Dehn surgery to an L-space.