Interacting Knots
Informatics and Automation, 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.
@article{TRSPY_1999_226_a18,
     author = {A. J. Niemi},
     title = {Interacting {Knots}},
     journal = {Informatics and Automation},
     pages = {232--239},
     publisher = {mathdoc},
     volume = {226},
     year = {1999},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TRSPY_1999_226_a18/}
}
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A. J. Niemi. Interacting Knots. Informatics and Automation, Mathematical physics. Problems of quantum field theory, Tome 226 (1999), pp. 232-239. http://geodesic.mathdoc.fr/item/TRSPY_1999_226_a18/