Asymptotic link invariants for ergodic vector fields
Geometric Topology
2008-03-07 v1 Dynamical Systems
Abstract
We study the asymptotics of a family of link invariants on the orbits of a smooth volume-preserving ergodic vector field on a compact domain of the 3-space. These invariants, called linear saddle invariants, include many concordance invariants and generate an infinite-dimensional vector space of link invariants. In contrast, the vector space of asymptotic linear saddle invariants is 1-dimensional, generated by the asymptotic signature. We also relate the asymptotic slice genus to the asymptotic signature.
Cite
@article{arxiv.0803.0898,
title = {Asymptotic link invariants for ergodic vector fields},
author = {Sebastian Baader},
journal= {arXiv preprint arXiv:0803.0898},
year = {2008}
}
Comments
12 pages, 6 figures