Asymptotic Rasmussen Invariant
| dc.creator | Baader, Sebastian | |
| dc.date | 2007-02-12 | |
| dc.date.accessioned | 2026-07-07T07:46:22Z | |
| dc.date.available | 2026-07-07T07:46:22Z | |
| dc.description | We use simple properties of the Rasmussen invariant of knots to study its asymptotic behaviour on the orbits of a smooth volume preserving vector field on a compact domain in the 3-space. A comparison with the asymptotic signature allows us to prove that asymptotic knots are non-alternating, in general. Further we show that the Rasmussen invariant defines a quasi-morphism on the braid groups and derive estimates for the stable commutator and torsion lengths of alternating braids. | |
| dc.description | 12 pages, 5 figures | |
| dc.identifier | https://arxiv.org/abs/math/0702335 | |
| dc.identifier | http://arxiv.org/abs/math/0702335 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/123803 | |
| dc.subject | Geometric Topology | |
| dc.subject | 57M25; 37C50 | |
| dc.title | Asymptotic Rasmussen Invariant | |
| dc.type | text |