Representations of the (-2,3,7)-Pretzel Knot and Orderability of Dehn Surgeries
Abstract
We construct a 1-parameter family of SL2(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.
0
Turn this paper into a lesson
ArcXiv compiles a structured reading guide from this paper's metadata: plain-English importance, contributions, prerequisite concepts, which sections to read first, flashcards, and a quiz. Grounded in the abstract, never invented.