Higher-dimensional linking integrals

DOI10.1090/S0002-9939-2010-10603-2zbMath1221.57038arXiv0801.4022OpenAlexW2036191777MaRDI QIDQ2997210

Clayton Shonkwiler, David Shea Vela-Vick

Publication date: 6 May 2011

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0801.4022

zbMATH Keywords

linking numberGauss linking integral

Mathematics Subject Classification ID

Related Items (4)

Geometric complexity of embeddings in \(\mathbb R^d\) ⋮ Generalized Gauss maps and integrals for three-component links: Toward higher helicities for magnetic fields and fluid flows ⋮ Kelvin wave and knot dynamics on entangled vortices ⋮ Unstable periodic orbits in a four-dimensional Faraday disk dynamo

Cites Work

• From the Mahler conjecture to Gauss linking integrals
• Orbits of asteroids, a braid, and the first link invariant
• Electrodynamics and the Gauss linking integral on the 3-sphere and in hyperbolic 3-space
• Linking integrals in the n-sphere

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