pith. sign in

arxiv: math/0405089 · v3 · submitted 2004-05-05 · 🧮 math.SG · math.GT· math.RT

A link invariant from the symplectic geometry of nilpotent slices

classification 🧮 math.SG math.GTmath.RT
keywords certaininvarianttheorygeometrylinkmanifoldsnilpotentorbits
0
0 comments X
read the original abstract

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).

This paper has not been read by Pith yet.

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.