Left orderable surgeries of double twist knots

被引：0

作者：

Tran, Anh T. ^{[1
]}

机构：

[1] Univ Texas Dallas, Dept Math Sci, Richardson, TX 75080 USA

来源：

JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN | 2021年 / 73卷 / 03期

关键词：

Dehn surgery; left orderable; L-space; Riley polynomial; double twist knot; The author has been partially supported by a grant from the Simons Foundation (#354595); FUNDAMENTAL-GROUPS; DEHN SURGERY;

D O I：

10.2969/jmsj/84058405

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

rational number r is called a left orderable slope of a knot K C S-3 if the 3-manifold obtained from S-3 by r-surgery along K has left orderable fundamental group. In this paper we consider the double twist knots C(k, l) in the Conway notation. For any positive integers m and n, we show that if K is a double twist knot of the form C(2m, -2n), C(2m 1, -2n) or C(2m 1, -2n) then there is an explicit unbounded interval I such that any rational number r E I is a left orderable slope of K.

引用

页码：753 / 765

页数：13

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