Topology and Geometry Seminar

Title: Commensurability Classes of (-2,3,n) pretzel knots

Speaker: Melissa Macasieb

Abstract: Let K be a hyperbolic (-2,3,n) pretzel knot and M = S3 \K its complement. For these knots, we verify a conjecture of Reid and Walsh: there are at most three knot complements in the commensurability class of M. Indeed, if n \neq 7, we show that M is the unique knot complement in its class.