On volume-preserving vector fields and finite type invariants of knots
Geometric Topology
2019-02-20 v2 Mathematical Physics
Dynamical Systems
math.MP
Abstract
We consider the general nonvanishing, divergence-free vector fields defined on a domain in three space and tangent to its boundary. Based on the theory of finite type invariants, we define a family of invariants for such fields, in the style of Arnold's asymptotic linking number. Our approach is based on the configuration space integrals due to Bott and Taubes.
Keywords
Cite
@article{arxiv.1309.3361,
title = {On volume-preserving vector fields and finite type invariants of knots},
author = {R. Komendarczyk and I. Volic},
journal= {arXiv preprint arXiv:1309.3361},
year = {2019}
}
Comments
30 pages, 6 figures, exposition improved