Asymptotic Rasmussen Invariant
几何拓扑
2007-05-23 v1
摘要
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.
引用
@article{arxiv.math/0702335,
title = {Asymptotic Rasmussen Invariant},
author = {Sebastian Baader},
journal= {arXiv preprint arXiv:math/0702335},
year = {2007}
}
备注
12 pages, 5 figures