Linking integrals in the n-sphere

Details Linking integrals in the n-sphere Linking integrals in the n-sphere

2008-02-04

arxiv.org/abs/0802.0320v1

Mathematics

Geometric Topology

14 pages, 2 figures

Scientific paper

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.

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