Abstract
We consider the general non-vanishing, divergence-free vector fields defined on a domain in$3$-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.
Publisher
Cambridge University Press (CUP)
Subject
Applied Mathematics,General Mathematics
Reference45 articles.
1. ON HYDROMAGNETIC EQUILIBRIUM
2. On the asymptotic linking number
3. Complements of Discriminants of Smooth Maps:
Topology and Applications
4. [40] D. P. Thurston . Integral expressions for the Vassiliev knot invariants. Senior Thesis, Harvard University, April 1995, arXiv:math/9901110, 1999.
5. Ergodic theorems for general dynamical systems;Tempelman;Dokl. Akad. Nauk SSSR,1967
Cited by
6 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献