The Beilinson-Drinfeld Grassmannian and symplectic knot homology
| dc.creator | Kamnitzer, Joel | |
| dc.date | 2008-11-11 | |
| dc.date | 2009-03-08 | |
| dc.date.accessioned | 2026-07-07T12:49:32Z | |
| dc.date.available | 2026-07-07T12:49:32Z | |
| dc.description | 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. | |
| dc.identifier | https://arxiv.org/abs/0811.1730 | |
| dc.identifier | http://arxiv.org/abs/0811.1730 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/222436 | |
| dc.subject | Quantum Algebra | |
| dc.subject | Symplectic Geometry | |
| dc.title | The Beilinson-Drinfeld Grassmannian and symplectic knot homology | |
| dc.type | text |