Triple linking numbers, ambiguous Hopf invariants and integral formulas for three-component links

zbMath1194.57007arXiv0901.1612MaRDI QIDQ3560627

Clayton Shonkwiler, David Shea Vela-Vick, Rafal Komendarczyk, Herman Gluck, Dennis M. DeTurck, Paul M. Melvin

Publication date: 14 May 2010

Full work available at URL: https://arxiv.org/abs/0901.1612

zbMATH Keywords

link homotopyhelicityintegral formulasMilnor invariantslinking numbersPontryagin invariants

Mathematics Subject Classification ID

Integral geometry (53C65)

Related Items (10)

Milnor invariants of string links, trivalent trees, and configuration space integrals ⋮ Generalized Gauss maps and integrals for three-component links: toward higher helicities for magnetic fields and fluid flows. II ⋮ A formula for the linking number in terms of isometry invariants of straight line segments ⋮ The Milnor triple linking number of string links by cut-and-paste topology ⋮ On asymptotic higher analogs of the helicity invariant in magnetohydrodynamics ⋮ Quadratic helicities and the energy of magnetic fields ⋮ Homotopy Brunnian links and the $\kappa $-invariant ⋮ The third order helicity of magnetic fields via link maps ⋮ The third order helicity of magnetic fields via link maps. II ⋮ A Proof of the Invariant-Based Formula for the Linking Number and Its Asymptotic Behaviour

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