Alexander polynomials of doubly primitive knots
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- by Kazuhiro Ichihara, Toshio Saito and Masakazu Teragaito PDF
- Proc. Amer. Math. Soc. 135 (2007), 605-615 Request permission
Abstract:
We give a formula for Alexander polynomials of doubly primitive knots. This also gives a practical algorithm to determine the genus of any doubly primitive knot.References
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Additional Information
- Kazuhiro Ichihara
- Affiliation: College of General Education, Osaka Sangyo University, Nakagaito 3-1-1, Daito, Osaka 574-8530, Japan
- Email: ichihara@las.osaka-sandai.ac.jp
- Toshio Saito
- Affiliation: Graduate School of Humanities and Sciences, Nara Women’s University, Kitauoyanishi-machi, Nara 630-8506, Japan
- Email: tsaito@cc.nara-wu.ac.jp
- Masakazu Teragaito
- Affiliation: Department of Mathematics and Mathematics Education, Hiroshima University, Kagamiyama 1-1-1, Higashi-hiroshima, Japan 739-8524.
- MR Author ID: 264744
- Email: teragai@hiroshima-u.ac.jp
- Received by editor(s): June 21, 2005
- Received by editor(s) in revised form: September 13, 2005
- Published electronically: August 10, 2006
- Additional Notes: The second author was supported by the 21st Century COE program “Towards a New Basic Science; Depth and Synthesis”, Osaka University.
The third author was partially supported by the Japan Society for the Promotion of Science, Grant-in-Aid for Scientific Research (C), 16540071. - Communicated by: Ronald A. Fintushel
- © Copyright 2006
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 135 (2007), 605-615
- MSC (2000): Primary 57M25
- DOI: https://doi.org/10.1090/S0002-9939-06-08496-6
- MathSciNet review: 2255308