The average genus of oriented rational links with a given crossing number

The average genus of oriented rational links with a given crossing number

In this paper, we enumerate the number of oriented rational knots and the number of oriented rational links with any given crossing number and minimum genus. This allows us to obtain a precise formula for the average minimal genus of oriented rational knots and links with any given crossing number.

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Veröffentlicht in:arXiv.org 2022-04
Hauptverfasser: Ray, Dawn, Diao, Yuanan
Format: Artikel
Sprache:eng
Schlagworte:
Knots
Links
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Zusammenfassung:In this paper, we enumerate the number of oriented rational knots and the number of oriented rational links with any given crossing number and minimum genus. This allows us to obtain a precise formula for the average minimal genus of oriented rational knots and links with any given crossing number.
ISSN:2331-8422