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Knotted solitons

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arxiv math-ph/0212079 v1 pith:X6XEWGE7 submitted 2002-12-01 math-ph math.MP

Ludvig D. Faddeev This is my paper
classification math-phmath.MP
keywords knottedsolitonadmittingapplicationschargeclosedcontourdimensional
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The dynamical model on 3+1 dimensional spacetime admitting soliton solutions is discussed. The proposal soliton is localized in the vicinity of a closed contour, which could be linked and/or knotted. The topological charge is Hopf invariant. Some applications in realistic physical systems are indicated.

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  1. Fractional Quantum Hall Anyons via the Algebraic Topology of Exotic Flux Quanta

    cond-mat.mes-hall 2025-05 conditional novelty 6.0 of 10

    Fractional quantum Hall anyons are re-derived from a non-Lagrangian flux quantization in 2-Cohomotopy, with new predictions for torus degeneracy and defect anyons.

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