Left orderability of cyclic branched covers of rational knots $C(2n+1,2m,2)$

Autor:	Meyer, Bradley, Tran, Anh T.
Rok vydání:	2020
Předmět:	Mathematics - Geometric Topology Primary 57M27 57M25
Druh dokumentu:	Working Paper
Popis:	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 $C(2n+1,2m,2)$. Comment: 16 pages, 5 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2011.11623 Zobrazit plný text záznamu View this record from Arxiv