Almost L-space knots

Abstract: Heegaard Floer homology is a powerful package of invariants in low dimensional topology due originally to Ozsváth-Szabó. An L-space knot is a knot admitting surgeries to a manifold with Heegaard Floer homology of minimal rank. Ozsváth-Szabó classified the knot Floer homology of L-space knots from which it follows that L-space knots satisfy various strong topological conditions. I will discuss a generalization of Ozsváth-Szabó's result to "almost L-space knots"; i.e. knots which admit surgeries to manifolds with Heegaard Floer homology of next to minimal rank.

algebraic geometryanalysis of PDEsalgebraic topologycomplex variablesdifferential geometrygeneral topologygeometric topologyK-theory and homologymetric geometrysymplectic geometry

Audience: researchers in the topic

CRM - Séminaire du CIRGET / Géométrie et Topologie

Series comments: Hybrid seminar of geometry and topology. Laboratory : CIRGET - www.cirget.uqam.ca The homepage of the seminar is www.cirget.uqam.ca/fr/seminaires.html

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