Abstract

In this paper, using the ϕ-mapping theory, it is shown thattwo kinds of topological defects, i.e., the vortex lines and the monopolesexist in the helical configuration of magnetic field in tripletsuperconductors. And the inner topological structure of these defects isstudied. Because the knot solitons in the triplet superconductors arecharacterized by the Hopf invariant, we also establish a relationshipbetween the Hopf invariant and the linking number of knots family, andreveal the inner topological structure of the Hopf invariant.

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