Non-integral boundary slopes of alternating knots

被引：0

作者：

Ishikawa, Masaharu ^{[1
]}

Mattman, Thomas W. ^{[2
]}

Shimokawa, Koya ^{[3
]}

机构：

[1] Keio Univ, Dept Math, Hiyoshi Campus,4-1-1 Hiyoshi,Kohoku Ku, Yokohama, Kanagawa 2238521, Japan

[2] Calif State Univ, Dept Math & Stat, Chico, CA 95929 USA

[3] Ochanomizu Univ, Dept Math, 2-1-1 Otsuka,Bunkyo Ku, Tokyo 1128610, Japan

来源：

GEOMETRIAE DEDICATA | 2025年 / 219卷 / 01期

基金：

日本学术振兴会;

关键词：

Boundary slopes; Alternating knots; Deformation variety; Layered solid torus;

D O I：

10.1007/s10711-025-00980-0

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show, for every positive integer n, there is an alternating knot having a boundary slope with denominator n. We make use of Kabaya's method for boundary slopes and the layered solid torus construction introduced by Jaco and Rubinstein and further developed by Howie et al.

引用

页数：21

共 13 条

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