论文标题
以$ 1 $ - 桥辫子，卫星结，歧管$ v2503 $以及非左订购手术和填充物
On $1$-bridge braids, satellite knots, the manifold $v2503$ and non-left-orderable surgeries and fillings
论文作者
论文摘要
我们为非平凡结定义特性（d）。我们表明，由Dehn手术在带有坡度$ \ frac {p} {q} {q} \ ge 2g（k）-1 $的属性（d）的带有属性的结（d）上获得的流形的基本组。通过充分利用固定点方法，我们证明（1）闭合$ 1 $ bridge辫子的非平凡结具有属性（d）； （2）L-Space卫星结，带有$ 1 $桥的编织图案，并具有财产（D）的伴侣，具有财产（D）； （3）Dehn Filling在$ V2503 $上获得的歧管的基本组并非订购。此外，我们证明了表格$ t_ {p，kp \ pm 1}^{l，m} $的L空间扭曲的圆环结是正面$ 1 $ -Bridge编织的封闭。
We define the property (D) for nontrivial knots. We show that the fundamental group of the manifold obtained by Dehn surgery on a knot $K$ with property (D) with slope $\frac{p}{q}\ge 2g(K)-1$ is not left orderable. By making full use of the fixed point method, we prove that (1) nontrivial knots which are closures of positive $1$-bridge braids have property (D); (2) L-space satellite knots, with positive $1$-bridge braid patterns, and companion with property (D), have property (D); (3) the fundamental group of the manifold obtained by Dehn filling on $v2503$ is not left orderable. Additionally, we prove that L-space twisted torus knots of form $T_{p,kp\pm 1}^{l,m}$ are closures of positive $1$-bridge braids.
