A fourth-order topological invariant of magnetic or vortex lines

  • Akhmetiev P
  • Ruzmaikin A
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Abstract

A fourth-order topological invariant for non-dissipative magnetic or vortex configurations with zero helicity is constructed. It is an integral form of the two-link Sato-Levine topological invariant. Geometrically, the invariant is determined by the self-linking number of the curve of intersection of Seifert surfaces pulled on two linked flux tubes. © 1995.

Author-supplied keywords

  • Magnetic lines
  • Topological invariants
  • vortex lines

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Authors

  • Peter Akhmetiev

  • Alexander Ruzmaikin

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