Geodesic
Interacting Knots
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Mathematical physics. Problems of quantum field theory, Tome 226 (1999), pp. 232-239
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We study geometrical aspects of the interaction of knotlike solitons in the Faddeev model. We argue that the splitting and joining of two solitons is a local process governed by a four-point vertex. The interaction preserves the linking number but in general both the twist and the writhe can change, which suggests that supercoiled states will be present. 
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A. J. Niemi. Interacting Knots. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Mathematical physics. Problems of quantum field theory, Tome 226 (1999), pp. 232-239. http://geodesic.mathdoc.fr/item/TM_1999_226_a18/

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