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Heegaard Floer homology of L-space links


Speaker: Eugene Gorsky, UC Davis
Location: 2112 MSB
Start time: Tue, Oct 6 2015, 1:10PM

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.