扭环结手术的左序性

IF 0.4 4区数学 Q4 MATHEMATICS

Proceedings of the Japan Academy Series A-Mathematical Sciences Pub Date : 2018-09-04 DOI:10.3792/PJAA.95.6

Anh T. Tran

引用次数: 8

摘要

我们证明了基群 $3$-流形由 $\frac{p}{q}$-手术沿 $(n-2)$扭曲的 $(3,3m+2)$-环结，带 $n,m \ge 1$，是不可左序的 $\frac{p}{q} \ge 2n + 6m-3$ 它是左序的，如果 $\frac{p}{q}$ 足够接近 $0$．

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Left-orderability for surgeries on twisted torus knots

We show that the fundamental group of the $3$-manifold obtained by $\frac{p}{q}$-surgery along the $(n-2)$-twisted $(3,3m+2)$-torus knot, with $n,m \ge 1$, is not left-orderable if $\frac{p}{q} \ge 2n + 6m-3$ and is left-orderable if $\frac{p}{q}$ is sufficiently close to $0$.

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来源期刊

Proceedings of the Japan Academy Series A-Mathematical Sciences 数学-数学

CiteScore

1.00

自引率

0.00%

发文量

审稿时长

6 months

期刊介绍： The aim of the Proceedings of the Japan Academy, Series A, is the rapid publication of original papers in mathematical sciences. The paper should be written in English or French (preferably in English), and at most 6 pages long when published. A paper that is a résumé or an announcement (i.e. one whose details are to be published elsewhere) can also be submitted. The paper is published promptly if once communicated by a Member of the Academy at its General Meeting, which is held monthly except in July and in August.