A link invariant from the symplectic geometry of nilpotent slices

@inproceedings{Seidel2004ALI,
  title={A link invariant from the symplectic geometry of nilpotent slices},
  author={Paul Seidel and Ivan Smith},
  year={2004}
}
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). 

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