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.
Acknowledgment
The author would like to thank the referee for useful comments. This research was partially supported by JSPS KAKENHI Grant Numbers JP17K05261 and JP21K03253.
Citation
Takayuki Morifuji. "On adjoint torsion polynomial of genus one two-bridge knots." Kodai Math. J. 45 (1) 110 - 116, March 2022. https://doi.org/10.2996/kmj/kmj45107
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