论文标题
与许多非特征斜率无限的结
Knots with infinitely many non-characterizing slopes
论文作者
论文摘要
使用Annulus Twist上的技术，我们观察到$ 6_3 $具有无限的许多非特征斜率，这肯定地回答了Baker和Motegi的问题。此外，我们证明了这个结$ 6_2 $，$ 6_3 $，$ 7_6 $，$ 7_7 $，$ 8_1 $，$ 8_3 $，$ 8_4 $，$ 8_6 $，$ 8_7 $，$ 8_9 $，$ 8_9 $，$ 8_ $ 8_ {14} $，$ 8_ {17} $，$ 8_ {20} $和$ 8_ {21} $具有无限的许多非特征性斜率。我们还介绍了微不足道的环曲的概念，并提供了一些可能的应用。最后，我们完全确定哪些结具有最多8次交叉的特殊环形演示。
Using the techniques on annulus twists, we observe that $6_3$ has infinitely many non-characterizing slopes, which affirmatively answers a question by Baker and Motegi. Furthermore, we prove that the knots $6_2$, $6_3$, $7_6$, $7_7$, $8_1$, $8_3$, $8_4$, $8_6$, $8_7$, $8_9$, $8_{10}$, $8_{11}$, $8_{12}$, $8_{13}$, $8_{14}$, $8_{17}$,$8_{20}$ and $8_{21}$ have infinitely many non-characterizing slopes. We also introduce the notion of trivial annulus twists and give some possible applications. Finally, we completely determine which knots have special annulus presentations up to 8-crossings.
