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

Bradley Meyer; Anh T. Tran

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arXiv · 2011.11623

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

Bradley Meyer·Anh T. Tran

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Abstract

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 $C(2n+1,2m,2)$.

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BibTeX RIS

Bradley Meyer, Anh T. Tran. 2020-11-23. Left orderability of cyclic branched covers of rational knots $C(2n+1,2m,2)$. https://arxiv.org/abs/2011.11623

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