Link Invariants of Electromagnetic Fields

DOI10.1103/PhysRevLett.92.030406zbMath1267.78004WikidataQ75374409 ScholiaQ75374409MaRDI QIDQ2837597

Hanno von Bodecker, Gunnar Hornig

Publication date: 11 July 2013

Published in: Physical Review Letters (Search for Journal in Brave)

Mathematics Subject Classification ID

Related Items (12)

Generalized Gauss maps and integrals for three-component links: toward higher helicities for magnetic fields and fluid flows. II ⋮ Braiding statistics and link invariants of bosonic/fermionic topological quantum matter in 2+1 and 3+1 dimensions ⋮ NOVEL TOPOLOGICAL INVARIANT IN THE U(1) GAUGE FIELD THEORY ⋮ Inner topological structure of Hopf invariant ⋮ Generalized Gauss maps and integrals for three-component links: Toward higher helicities for magnetic fields and fluid flows ⋮ On a new integral formula for an invariant of 3-component oriented links ⋮ On volume-preserving vector fields and finite-type invariants of knots ⋮ ELECTRON PARALLEL COMPRESSIBILITY IN THE NONLINEAR DEVELOPMENT OF TWO-DIMENSIONAL COLLISIONLESS MAGNETOHYDRODYNAMIC RECONNECTION ⋮ 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 ⋮ On asymptotic Hopf invariant for Hamiltonian systems

Cites Work

• Links of tori and the energy of incompressible flows
• Ergodic interpretation of integral hydrodynamic invariants
• High-dimensional helicities and rigidity of linked foliations.
• The analytic generalized Hopf invariant. Many-valued functionals
• A note on topology and magnetic energy in incompressible perfectly conducting fluids
• Towards a third-order topological invariant for magnetic fields
• Energy-crossing number relations for braided magnetic fields
• On the asymptotic linking number
• A theorem of Sanderson on link bordisms in dimension \(4\)
• Unnamed Item

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