%0 Journal Article
%T A link invariant from the symplectic geometry of nilpotent slices
%A Paul Seidel
%A Ivan Smith
%J Mathematics
%D 2004
%I arXiv
%X Using the symplectic geometry of certain manifolds which appear naturally in Lie theory, we define an invariant which assigns a graded abelian group to an oriented link. The relevant manifolds are transverse slices to certain nilpotent orbits inside sl_{2m}, and intersections of those with regular semisimple orbits. The invariant is conjectured to be equal to Khovanov's combinatorially defined homology theory (with the bigrading of that theory collapsed in a certain way).
%U http://arxiv.org/abs/math/0405089v3