Algorithms for orbit closure separation for invariants and semi-invariants of matrices
Authors:
;
Award ID(s):
Publication Date:
NSF-PAR ID:
10273520
Journal Name:
Algebra & Number Theory
Volume:
14
Issue:
10
Page Range or eLocation-ID:
2791 to 2813
ISSN:
1937-0652
1. 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.