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arXiv · 1912.07468

Slope of Orderable Dehn Filling of Two-Bridge Knots

Xinghua Gao
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Abstract

In this paper, we study the Riley polynomial of double twist knots with higher genus. Using the root of the Riley polynomial, we compute the range of rational slope $r$ such that $r$-filling of the knot complement has left-orderable fundamental group. Further more, we make a conjecture about left-orderable surgery slopes of two-bridge knots.

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Xinghua Gao. 2022-05-13. Slope of Orderable Dehn Filling of Two-Bridge Knots. https://arxiv.org/abs/1912.07468

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