Representations of the (-2,3,7)-Pretzel Knot and Orderability of Dehn Surgeries
arXiv:1911.11745 · doi:10.1016/j.topol.2021.107654
Abstract
We construct a 1-parameter family of representations of the pretzel knot . As a consequence, we conclude that Dehn surgeries on this knot are left-orderable for all rational surgery slopes less than 6. Furthermore, we discuss a family of knots and exhibit similar orderability results for a few other examples.
21 pages, 5 figures