Exposé Bourbaki 1079 : Réalisations géométriques de l'homologie de Khovanov par des homologies de Floer
Exposé Bourbaki 1079 : Geometric realizations of Khovanov homology by Floer type homologies
Astérisque | Exposés Bourbaki | 2015
Français
Khovanov homology is a link invariant defined from a planar diagram by mysterious combinatorial formulas. Ozsváth-Szabó (2005) and Seidel-Smith (2006) give geometric interpretations of it in the framework of Lagrangian Floer homology. The equivalence, announced recently by Abouzaid and Smith, between Khovanov homology and its symplectic version should allow to better understand the potential applications of the initial invariant.
Homologie de Khovanov, homologie de Floer lagrangienne, homologie de Heegaard-Floer .
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