Hoste’s conjecture for the 2-bridge knots
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- by Katsumi Ishikawa
- Proc. Amer. Math. Soc. 147 (2019), 2245-2254
- DOI: https://doi.org/10.1090/proc/14262
- Published electronically: January 29, 2019
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Abstract:
We show that the real parts of the roots of the Alexander polynomial for any $2$-bridge knot are greater than $-1$. This is a specific case of Hoste’s conjecture.References
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Bibliographic Information
- Katsumi Ishikawa
- Affiliation: Research Institute for Mathematical Sciences, Kyoto University, Sakyo-ku, Kyoto, 606-8502, Japan
- Email: katsumi@kurims.kyoto-u.ac.jp
- Received by editor(s): January 19, 2018
- Received by editor(s) in revised form: May 14, 2018
- Published electronically: January 29, 2019
- Additional Notes: This work was supported by Grant-in-Aid for JSPS Fellows (16J01183).
- Communicated by: David Futer
- © Copyright 2018 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 147 (2019), 2245-2254
- MSC (2010): Primary 57M25, 57M27
- DOI: https://doi.org/10.1090/proc/14262
- MathSciNet review: 3937698