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Commensurability classes of (-2,3,n) -pretzel knots


Speaker: Thomas Mattman, Chico State University
Location: 2112 MSB
Start time: Tue, Mar 10 2009, 4:10PM

Let K be a hyperbolic (-2,3,n) pretzel knot and M = S^3-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. We include examples to illustrate how our methods apply to a broad class of Montesinos knots. This is joint work with Melissa Macasieb.