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arXiv:1911.11745 [math.GT]AbstractReferencesReviewsResources

Representations of the (-2,3,7)-Pretzel Knot and Orderability of Dehn Surgeries

Konstantinos Varvarezos

Published 2019-11-26Version 1

We construct a 1-parameter family of $\mathrm{SL}_2(\mathbf{R})$ representations of the pretzel knot $P(-2,3,7)$. 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.

Comments: 21 pages, 5 figures
Categories: math.GT
Subjects: 57M27
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