Twisted virtual braids and twisted links

Twisted virtual braids and twisted links

Twisted knot theory introduced by M. Bourgoin is a generalization of knot theory. It leads us to the notion of twisted virtual braids. In this paper we show theorems for twisted links corresponding to the Alexander theorem and the Markov theorem in knot theory. We also provide a group presentation a...

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Veröffentlicht in:arXiv.org 2023-10
Hauptverfasser: Negi, Komal, Prabhakar, Madeti, Kamada, Seiichi
Format: Artikel
Sprache:eng
Schlagworte:
Braid theory
Knot theory
Theorems
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Zusammenfassung:Twisted knot theory introduced by M. Bourgoin is a generalization of knot theory. It leads us to the notion of twisted virtual braids. In this paper we show theorems for twisted links corresponding to the Alexander theorem and the Markov theorem in knot theory. We also provide a group presentation and a reduced group presentation of the twisted virtual braid group.
ISSN:2331-8422