ON ADJOINT TORSION POLYNOMIAL OF GENUS ONE TWO-BRIDGE KNOTS

Takayuki Morifuji

doi:10.2996/kmj45107

ON ADJOINT TORSION POLYNOMIAL OF GENUS ONE TWO-BRIDGE KNOTS

Takayuki Morifuji

Faculty of Economics

Research output: Contribution to journal › Article › peer-review

Abstract

Dunfield, Friedl and Jackson make a conjecture that the hyperbolic torsion polynomial determines the genus and fibering of hyperbolic knots. In this paper, we study a similar problem for the adjoint torsion polynomial, and show that it determines the genus and fibering of a large family of hyperbolic genus one two-bridge knots.

Original language	English
Pages (from-to)	110-116
Number of pages	7
Journal	Kodai Mathematical Journal
Volume	45
Issue number	1
DOIs	https://doi.org/10.2996/kmj45107
Publication status	Published - 2022

Keywords

Adjoint torsion polynomial
parabolic representation
two-bridge knot

ASJC Scopus subject areas

Mathematics(all)

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10.2996/kmj45107

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abstract = "Dunfield, Friedl and Jackson make a conjecture that the hyperbolic torsion polynomial determines the genus and fibering of hyperbolic knots. In this paper, we study a similar problem for the adjoint torsion polynomial, and show that it determines the genus and fibering of a large family of hyperbolic genus one two-bridge knots.",

keywords = "Adjoint torsion polynomial, parabolic representation, two-bridge knot",

author = "Takayuki Morifuji",

note = "Funding Information: Acknowledgments. The author would like to thank the referee for useful comments. This research was partially supported by JSPS KAKENHI Grant Numbers JP17K05261 and JP21K03253. Publisher Copyright: {\textcopyright} 2022, Tokyo Institute of Technology. All rights reserved.",

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PY - 2022

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N2 - Dunfield, Friedl and Jackson make a conjecture that the hyperbolic torsion polynomial determines the genus and fibering of hyperbolic knots. In this paper, we study a similar problem for the adjoint torsion polynomial, and show that it determines the genus and fibering of a large family of hyperbolic genus one two-bridge knots.

AB - Dunfield, Friedl and Jackson make a conjecture that the hyperbolic torsion polynomial determines the genus and fibering of hyperbolic knots. In this paper, we study a similar problem for the adjoint torsion polynomial, and show that it determines the genus and fibering of a large family of hyperbolic genus one two-bridge knots.

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KW - parabolic representation

KW - two-bridge knot

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ON ADJOINT TORSION POLYNOMIAL OF GENUS ONE TWO-BRIDGE KNOTS

Abstract

Keywords

ASJC Scopus subject areas

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