On a new integral formula for an invariant of 3-component oriented links |
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| Affiliation: | 1. Facultad de Ciencias Físico-Matemáticas, Universidad Michoacana, Morelia 58060, Mexico;2. Instituto de Ciencias Matemáticas (ICMAT) and Departamento de Matemáticas, Universidad Carlos III de Madrid, Leganés 28911, Spain |
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| Abstract: | Using physical considerations we constructed a new invariant of isotropy classes of an arbitrary configuration of three magnetic tubes in the space. The integral expression of this invariant is similar to the Massey product integrals of Milnor invariants of links. We prove that the constructed invariant cannot be expressed from the linking numbers of the configuration of magnetic tubes. |
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