On a new integral formula for an invariant of 3-component oriented links

DOI10.1016/j.geomphys.2004.06.002zbMath1070.57007OpenAlexW2015580079MaRDI QIDQ556142

Peter M. Akhmetiev

Publication date: 13 June 2005

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.geomphys.2004.06.002

zbMATH Keywords

linkmagnetohydrodynamicsintegral formula

Mathematics Subject Classification ID

Magnetohydrodynamics and electrohydrodynamics (76W05)

Related Items

Generalized Gauss maps and integrals for three-component links: toward higher helicities for magnetic fields and fluid flows. II ⋮ On a higher integral invariant for closed magnetic lines ⋮ Knot invariants in geodesic flows ⋮ Generalized Gauss maps and integrals for three-component links: Toward higher helicities for magnetic fields and fluid flows ⋮ On a higher integral invariant for closed magnetic lines, revisited ⋮ The Godbillon-Vey invariant as topological vorticity compression and obstruction to steady flow in ideal fluids ⋮ On asymptotic higher analogs of the helicity invariant in magnetohydrodynamics ⋮ On volume-preserving vector fields and finite-type invariants of knots ⋮ On Arnold's problem on higher analogs of the asymptotic Hopf invariant ⋮ Integral formula for a generalized Sato-Levine invariant in magnetic hydrodynamics ⋮ The third order helicity of magnetic fields via link maps ⋮ The third order helicity of magnetic fields via link maps. II

Cites Work

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• Link groups
• A formula for the generalized Sato-Levine invariant
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• Milnor's &   956; -Invariants and Massey Products
• Third-order braid invariants
• Towards a third-order topological invariant for magnetic fields
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