Mathematics Colloquia and Seminars

Return to Colloquia & Seminar listing

Heegaard Floer homology is a powerful invariant of knots and 3-manifolds, defined by Ozsvath and Szabo. A 3-manifold is called an L-space, if its Heegaard Floer homology has minimal possible rank. A link in 3-sphere is called an L-space link if all sufficiently large surgeries along it are L-spaces. I will describe some constructions of L-spaces and L-space links and compute their Heegaard Floer homology, following joint works with Andras Nemethi and Jennifer Hom.