On a relation between the self-linking number and the braid index of closed braids in open books

被引：0
|
作者：
Ito, Tetsuya [1 ]
机构：
[1] Osaka Univ, Grad Sch Sci, Dept Math, Osaka, Japan
来源：
KYOTO JOURNAL OF MATHEMATICS | 2018年 / 58卷 / 01期
基金：
日本学术振兴会;
关键词：
FOLIATIONS; SURFACES;
D O I：
10.1215/21562261-2017-0021
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We prove a generalization of the Jones-Kawamuro conjecture that relates the self-linking number and the braid index of closed braids, for planar open books with certain additional conditions and modifications. We show that our result is optimal in some sense by giving several examples that do not satisfy a naive generalization of the Jones-Kawamuro conjecture.
引用
收藏
页码：193 / 226
页数：34
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