Generalized Gauss maps and integrals for three-component links: toward higher helicities for magnetic fields and fluid flows. II

DOI10.2140/agt.2013.13.2897zbMath1348.57007OpenAlexW2026498426MaRDI QIDQ357714

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

Publication date: 13 August 2013

Published in: Algebraic \& Geometric Topology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/agt.2013.13.2897

zbMATH Keywords

triple linkinghelicityGauss integral

Mathematics Subject Classification ID

Related Items (3)

A spectral approach to the linking number in the 3-torus ⋮ The Godbillon-Vey invariant as topological vorticity compression and obstruction to steady flow in ideal fluids ⋮ Great circle fibrations and contact structures on the 3-sphere

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On a new integral formula for an invariant of 3-component oriented links
• The third order helicity of magnetic fields via link maps
• Topology of linked defects in condensed matter
• The Borromean rings
• A fourth-order topological invariant of magnetic or vortex lines
• Topological methods in hydrodynamics
• Über die Abbildungen der dreidimensionalen Sphäre auf die Kugelfläche
• High-dimensional helicities and rigidity of linked foliations.
• Analysis of \(S^2\)-valued maps and Faddeev's model
• Link groups
• Asymptotic Massey products, induced currents and Borromean torus links
• Link Invariants of Electromagnetic Fields
• A THEOREM ON FORCE-FREE MAGNETIC FIELDS
• Third-order link integrals
• THE TOPOLOGICAL THEORY OF THE MILNOR INVARIANT $\bar\mu(1,2,3)$
• Triple linking numbers, ambiguous Hopf invariants and integral formulas for three-component links
• Third-order braid invariants
• Towards a third-order topological invariant for magnetic fields
• The third order helicity of magnetic fields via link maps. II
• Generalized Gauss maps and integrals for three-component links: Toward higher helicities for magnetic fields and fluid flows
• The degree of knottedness of tangled vortex lines
• An Expression of Hopf's Invariant as an Integral
• Recent developments in Chern-Simons theory and link invariants

This page was built for publication: Generalized Gauss maps and integrals for three-component links: toward higher helicities for magnetic fields and fluid flows. II