Genera of two-bridge knots and epimorphisms of their knot groups

Author:

Suzuki Masaaki,Tran Anh T.

Funder

Japan Society for the Promotion of Science

Simons Foundation

Publisher

Elsevier BV

Subject

Geometry and Topology

Reference20 articles.

1. I. Agol, The classification of non-free 2-parabolic generator Kleinian groups, Slides of talks given at Austin AMS Meeting and Budapest Bolyai conference, Budapest, Hungary, July 2002.

2. Presentation length and Simon's conjecture;Agol;J. Am. Math. Soc.,2012

3. S. Aimi, D. Lee, M. Sakuma, Parabolic generating pairs of 2-bridge link groups, in preparation.

4. Simon's conjecture for two-bridge knots;Boileau;Commun. Anal. Geom.,2010

5. SU(2)-representation spaces for two-bridge knot groups;Burde;Math. Ann.,1990

Cited by 6 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. On the braid index of a two-bridge knot;Journal of Knot Theory and Its Ramifications;2024-05

2. Minimality of rational knots C(2n + 1,2m,2);Journal of Knot Theory and Its Ramifications;2024-02

3. A lower bound on the average genus of a 2-bridge knot;Journal of Knot Theory and Its Ramifications;2023-08

4. Genera and crossing numbers of 2-bridge knots;Fundamenta Mathematicae;2023

5. Generating functions on epimorphisms between 2-bridge knot groups;Journal of Knot Theory and Its Ramifications;2021-08

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