Hyperbolic torsion polynomials of pretzel knots

Takayuki Morifuji, Anh T. Tran

研究成果: Article査読

1 被引用数 (Scopus)

抄録

In this paper, we explicitly calculate the highest degree term of the hyperbolic torsion polynomial of an infinite family of pretzel knots. This gives supporting evidence for a conjecture of Dunfield, Friedl and Jackson that the hyperbolic torsion polynomial determines the genus and fiberedness of a hyperbolic knot. The verification of the genus part of the conjecture for this family of knots also follows from the work of Agol and Dunfield [1] or Porti [19].

本文言語English
ページ(範囲)265-272
ページ数8
ジャーナルAdvances in Geometry
21
2
DOI
出版ステータスPublished - 2021 4月 1

ASJC Scopus subject areas

  • 幾何学とトポロジー

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