Properties of glued knots

We study the properties of glued knots, a sub-class of real rational knots, that can be constructed by gluing ellipses. We define an invariant called the gluing degree and relate it to various classical properties of knots and classify all knots up to gluing degree 6.

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Veröffentlicht in:arXiv.org 2021-07
Hauptverfasser: D'Mello, Shane, Gaba, Vinay
Format: Artikel
Sprache:eng
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Zusammenfassung:We study the properties of glued knots, a sub-class of real rational knots, that can be constructed by gluing ellipses. We define an invariant called the gluing degree and relate it to various classical properties of knots and classify all knots up to gluing degree 6.
ISSN:2331-8422