# Hyperbolic torsion polynomials of pretzel knots

Takayuki Morifuji and Anh T. Tran
From the journal Advances in Geometry

## Abstract

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].

Funding statement: The first author was partially supported by JSPS KAKENHI Grant Number 17K05261. The second author was supported by a JSPS postdoctoral fellowship and a grant from the Simons Foundation (no. 354595 to AT) while writing this paper.

1. Communicated by: K. Ono

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