Transverse knots and Khovanov homology
| dc.creator | Plamenevskaya, Olga | |
| dc.date | 2004-12-08 | |
| dc.date.accessioned | 2026-07-07T05:15:08Z | |
| dc.date.available | 2026-07-07T05:15:08Z | |
| dc.description | We define an invariant of transverse links in the standard contact 3-sphere as a distinguished element of the Khovanov homology of the link. The quantum grading of this invariant is the self-linking number of the link. For knots, this gives a bound on the self-linking number in terms of Rasmussen's invariant s(K). We prove that our invariant vanishes for transverse knot stabilizations, and that it is non-zero for quasipositive braids. We also discuss a connection to Heegaard Floer invariants. | |
| dc.identifier | https://arxiv.org/abs/math/0412184 | |
| dc.identifier | http://arxiv.org/abs/math/0412184 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/73534 | |
| dc.subject | Geometric Topology | |
| dc.subject | Symplectic Geometry | |
| dc.title | Transverse knots and Khovanov homology | |
| dc.type | text |