On the set of L-space surgeries for links
- π€ Speaker: Evgeny Gorsky (University of California, Davis)
- π Date & Time: Thursday 23 March 2017, 15:15 - 16:15
- π Venue: Seminar Room 2, Newton Institute
Abstract
A 3 -manifold is called an L-space if its Heegaard Floer homology has minimal possible rank. A link (or knot) is called an L-space link if all sufficiently large surgeries of the three-sphere along its components are L-spaces. It is well known that the set of L-space surgeries for a nontrivial L-space knot is a half-line. Quite surprisingly, even for links with 2 components this set could have a complicated structure. I will prove that for “most” L-space links (in particular, for most algebraic links) this set is bounded from below, and show some nontrivial examples where it is unbounded. This is a joint work with Andras Nemethi.
Series This talk is part of the Isaac Newton Institute Seminar Series series.
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Evgeny Gorsky (University of California, Davis)
Thursday 23 March 2017, 15:15-16:15