Slope of Orderable Dehn Filling of Two-Bridge Knots
arXiv:1912.07468
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 such that -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.
24 pages, 7 figures