Generalized Gauss maps and integrals for three-component links: Toward higher helicities for magnetic fields and fluid flows
From MaRDI portal
Publication:5396228
DOI10.1063/1.4774172zbMath1328.57007arXiv1207.1793OpenAlexW2952810686MaRDI QIDQ5396228
Rafal Komendarczyk, David Shea Vela-Vick, Clayton Shonkwiler, Herman Gluck, Paul M. Melvin, Dennis M. DeTurck
Publication date: 5 February 2014
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1207.1793
Related Items (6)
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 ⋮ The Godbillon-Vey invariant as topological vorticity compression and obstruction to steady flow in ideal fluids ⋮ Relativistic helicity and link in Minkowski space-time ⋮ Tree invariants and Milnor linking numbers with indeterminacy ⋮ Homotopy Brunnian links and the $\kappa $-invariant
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On a new integral formula for an invariant of 3-component oriented links
- A new cohomological formula for helicity in \(\mathbb R^{2k+1}\) reveals the effect of a diffeomorphism on helicity
- From the Mahler conjecture to Gauss linking integrals
- The third order helicity of magnetic fields via link maps
- Topology of linked defects in condensed matter
- On a certain move generating link-homology
- Homotopy invariants of links
- The Borromean rings
- Handlebody construction of Stein surfaces
- A fourth-order topological invariant of magnetic or vortex lines
- A geometric interpretation of Milnor's triple linking numbers
- Über die Abbildungen der dreidimensionalen Sphäre auf die Kugelfläche
- High-dimensional helicities and rigidity of linked foliations.
- Classification of framed links in 3-manifolds
- Homotopy links
- A generalization of Milnor's \(\mu\)-invariants to higher-dimensional link maps
- Analysis of \(S^2\)-valued maps and Faddeev's model
- Link groups
- Quelques propriétés globales des variétés différentiables
- Asymptotic Massey products, induced currents and Borromean torus links
- Link Invariants of Electromagnetic Fields
- Higher-dimensional linking integrals
- A THEOREM ON FORCE-FREE MAGNETIC FIELDS
- Third-order link integrals
- THE TOPOLOGICAL THEORY OF THE MILNOR INVARIANT $\bar\mu(1,2,3)$
- Electrodynamics and the Gauss linking integral on the 3-sphere and in hyperbolic 3-space
- Third-order braid invariants
- Link Cobordism and Milnor's Invariant
- Towards a third-order topological invariant for magnetic fields
- The third order helicity of magnetic fields via link maps. II
- The degree of knottedness of tangled vortex lines
- An Expression of Hopf's Invariant as an Integral
This page was built for publication: Generalized Gauss maps and integrals for three-component links: Toward higher helicities for magnetic fields and fluid flows
