论文标题
循环分支封面的左订单$ C(2n+1,2m,2)$
Left orderability of cyclic branched covers of rational knots $C(2n+1,2m,2)$
论文作者
论文摘要
我们计算conway表示法中的Nonabelian $ \ Mathrm {sl_2}(\ Mathbb {C})$ - 有理结的字符品种$ c(2n+1200万,2)$,其中$ m $ and $ m $和$ n $是非零整数。通过研究这些品种的实际点,我们确定了$ C(2n+1,2m,2)$的环状分支盖的基本组的左有序性。
We compute the nonabelian $\mathrm{SL_2}(\mathbb{C})$-character varieties of the rational knots $C(2n+1,2m,2)$ in the Conway notation, where $m$ and $n$ are non-zero integers. By studying real points on these varieties, we determine the left orderability of the fundamental groups of the cyclic branched covers of $C(2n+1,2m,2)$.