A link invariant from the symplectic geometry of nilpotent slices
| dc.creator | Seidel, Paul | |
| dc.creator | Smith, Ivan | |
| dc.date | 2004-05-05 | |
| dc.date | 2006-04-18 | |
| dc.date.accessioned | 2026-07-07T06:36:45Z | |
| dc.date.available | 2026-07-07T06:36:45Z | |
| dc.description | 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). | |
| dc.description | v2: minor change to the introduction (grading in the long exact sequence corrected). v3: referees' suggestions and corrections incorporated; major changes to section 2 (the general Lie theory simplified by narrowing scope to sl_n) and minor changes to section 4 (more background on Floer theory included). This version to appear in Duke Mathematical Journal | |
| dc.identifier | https://arxiv.org/abs/math/0405089 | |
| dc.identifier | http://arxiv.org/abs/math/0405089 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/100187 | |
| dc.subject | Symplectic Geometry | |
| dc.subject | Geometric Topology | |
| dc.subject | Representation Theory | |
| dc.title | A link invariant from the symplectic geometry of nilpotent slices | |
| dc.type | text |