We propose a method to determine the character variety of a class J(m,n) of rational knots, which includes the twist knots. The defining polynomials depend only on the variables m and n. This answers for these classes of knots a question posed in a paper of Hilden, Lozano and Montesinos, and allows us to give an easy geometrical description of the considered character variety. Our results are obtained by using special presentations of the knot groups whose relators are palindromes.

The character variety of some classes of rational knots / Cavicchioli, Alberto; Spaggiari, Fulvia. - In: JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS. - ISSN 0218-2165. - 28:9(2019), pp. 1-15. [10.1142/S021821651950055X]

The character variety of some classes of rational knots

Alberto Cavicchioli;Fulvia Spaggiari
2019

Abstract

We propose a method to determine the character variety of a class J(m,n) of rational knots, which includes the twist knots. The defining polynomials depend only on the variables m and n. This answers for these classes of knots a question posed in a paper of Hilden, Lozano and Montesinos, and allows us to give an easy geometrical description of the considered character variety. Our results are obtained by using special presentations of the knot groups whose relators are palindromes.
28
9
1
15
The character variety of some classes of rational knots / Cavicchioli, Alberto; Spaggiari, Fulvia. - In: JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS. - ISSN 0218-2165. - 28:9(2019), pp. 1-15. [10.1142/S021821651950055X]
Cavicchioli, Alberto; Spaggiari, Fulvia
File in questo prodotto:
File Dimensione Formato  
S021821651950055X(1).pdf

non disponibili

Descrizione: articolo principale
Tipologia: Versione dell'editore (versione pubblicata)
Dimensione 283.65 kB
Formato Adobe PDF
283.65 kB Adobe PDF   Visualizza/Apri   Richiedi una copia
Pubblicazioni consigliate

Caricamento pubblicazioni consigliate

Licenza Creative Commons
I metadati presenti in IRIS UNIMORE sono rilasciati con licenza Creative Commons CC0 1.0 Universal, mentre i file delle pubblicazioni sono rilasciati con licenza Attribuzione 4.0 Internazionale (CC BY 4.0), salvo diversa indicazione.
In caso di violazione di copyright, contattare Supporto Iris

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11380/1181256
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 1
  • ???jsp.display-item.citation.isi??? 1
social impact