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The disk complex and 2-bridge knots

Sangbum Cho

http://orcid.org/0000-0001-6253-0048

Department of Mathematics Education, Hanyang University, Seoul 04763, Korea

School of Mathematics, Korea Institute for Advanced Study, Seoul 02455, Korea

E-mail Address: scho@hanyang.ac.kr

Corresponding author.

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and

Yuya Koda

Department of Mathematics, Hiroshima University, 1-3-1 Kagamiyama, Higashi-Hiroshima, 739-8526, Japan

E-mail Address: ykoda@hiroshima-u.ac.jp

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https://doi.org/10.1142/S021821651850027XCited by:1 (Source: Crossref)

Abstract

We give a purely combinatorial proof of a result of Kobayashi and Saeki that every genus one 1-bridge position of a nontrivial 2-bridge knot is a stabilization.

Keywords:

AMSC: 57M25, 57M20

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