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Abstract We recall a definition of an asymptotic invariant of classical link, which is called M-invariant. M-invariant is a special Massey integral, this integral has an ergodic form and is… Click to show full abstract
Abstract We recall a definition of an asymptotic invariant of classical link, which is called M-invariant. M-invariant is a special Massey integral, this integral has an ergodic form and is generalized for magnetic fields with open magnetic lines in a bounded 3D-domain. We present a proof that this integral is well defined. A combinatorial formula for M-invariant using the Conway polynomial is presented. The M-invariant is a higher invariant, it is not a function of pairwise linking numbers of closed magnetic lines. We discuss applications of M-invariant for MHD.
Journal Title: Journal of Geometry and Physics
Year Published: 2021
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