Higher-dimensional linking integrals
Geometric Topology
2011-10-07 v1 Differential Geometry
Abstract
We derive an integral formula for the linking number of two submanifolds of the n-sphere S^n, of the product S^n x R^m, and of other manifolds which appear as "nice" hypersurfaces in Euclidean space. The formulas are geometrically meaningful in that they are invariant under the action of the special orthogonal group on the ambient space.
Keywords
Cite
@article{arxiv.0801.4022,
title = {Higher-dimensional linking integrals},
author = {Clayton Shonkwiler and David Shea Vela-Vick},
journal= {arXiv preprint arXiv:0801.4022},
year = {2011}
}
Comments
10 pages, 3 figures