The Beilinson-Drinfeld Grassmannian and symplectic knot homology

Details The Beilinson-Drinfeld Grassmannian and symplectic knot homology The Beilinson-Drinfeld Grassmannian and symplectic knot homology

2008-11-11

arxiv.org/abs/0811.1730v2

Mathematics

Quantum Algebra

Scientific paper

Seidel-Smith and Manolescu constructed knot homology theories using symplectic fibrations whose total spaces were certain varieties of matrices. These knot homology theories were associated to $SL(n) $ and tensor products of the standard and dual representations. In this paper, we place their geometric setups in a natural, general framework. For any complex reductive group and any sequence of minuscule dominant weights, we construct a fibration of affine varieties over a configuration space. The middle cohomology of these varieties is isomorphic to the space of invariants in the corresponding tensor product of representations. Our construction uses the Beilinson-Drinfeld Grassmannian and the geometric Satake correspondence.

Affiliated with

Also associated with

No associations

Rating

The Beilinson-Drinfeld Grassmannian and symplectic knot homology does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with The Beilinson-Drinfeld Grassmannian and symplectic knot homology, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The Beilinson-Drinfeld Grassmannian and symplectic knot homology will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-543881