## Tokyo Journal of Mathematics

### A Calculation of the Hyperbolic Torsion Polynomial of a Pretzel Knot

Takayuki MORIFUJI

#### Abstract

In this short note, we calculate the highest degree term of the hyperbolic torsion polynomial of a pretzel knot with three tangles. It gives a supporting evidence for a conjecture of Dunfield, Friedl and Jackson that the hyperbolic torsion polynomial determines the genus and fiberedness of a hyperbolic knot.

#### Article information

Source
Tokyo J. Math., Volume 42, Number 1 (2019), 219-224.

Dates
First available in Project Euclid: 18 July 2019

https://projecteuclid.org/euclid.tjm/1563436919

Mathematical Reviews number (MathSciNet)
MR3982055

#### Citation

MORIFUJI, Takayuki. A Calculation of the Hyperbolic Torsion Polynomial of a Pretzel Knot. Tokyo J. Math. 42 (2019), no. 1, 219--224. https://projecteuclid.org/euclid.tjm/1563436919

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