2007/02/12 by Sebastian Baader, Baader, Sebastian
Chemistry · Mathematics · Physics and Astronomy · #37C50 #57M25 #Advanced Combinatorial Mathematics #FOS: Mathematics #Geometric Topology (math.GT) #Molecular spectroscopy and chirality #Quantum chaos and dynamical systems #math.GT #msc:37C50 #msc:57M25
paper · pdf · doi:10.48550/arxiv.math/0702335
12 pages, 5 figures
arxiv created 2007/02/12 · openalex publication_date 2007/02/12 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.