Linking integrals in the n-sphere
Geometric Topology
2008-02-05 v1 Differential Geometry
Abstract
Let K and L be disjoint closed oriented submanifolds of the n-sphere, with dimensions adding up to n-1. We define a map from their join K*L to the n-sphere whose degree up to sign equals their linking number, and then use this to find the desired linking integral.
Keywords
Cite
@article{arxiv.0802.0320,
title = {Linking integrals in the n-sphere},
author = {Dennis DeTurck and Herman Gluck},
journal= {arXiv preprint arXiv:0802.0320},
year = {2008}
}
Comments
14 pages, 2 figures