This paper realises the Khovanov homology of a link in $ S^ 3$ as a Lagrangian Floer
cohomology group, establishing a conjecture of Seidel and the second author. The starting …

Abstract We consider Lagrangian Floer cohomology for a pair of Lagrangian submanifolds
in a symplectic manifold M. Suppose that M carries a symplectic involution, which preserves …

We prove a formality theorem for the Fukaya categories of the symplectic manifolds
underlying symplectic Khovanov cohomology over fields of characteristic zero. The key …

Categorical symplectic geometry is the study of a rich collection of invariants of symplectic
manifolds, including the Fukaya $ A_\infty $-category, Floer cohomology, and symplectic …

Symplectic Khovanov homology is an invariant of oriented links defined by Seidel and Smith
and conjectured to be isomorphic to Khovanov homology. I define morphisms (up to a global …

This paper realises the Khovanov homology of a link in $ S^ 3$ as a Lagrangian Floer
cohomology group, establishing a conjecture of Seidel and the second author. The starting …

L'homologie de Khovanov [5, 6] associe un groupe d'homologie bigradué Kh (L)∗,∗ à tout
entrelacs L de R3. La première graduation, notée p par la suite, est un degré homologique …