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2008 Commensurability classes of $(-2,3,n)$ pretzel knot complements
Melissa Macasieb, Thomas Mattman
Algebr. Geom. Topol. 8(3): 1833-1853 (2008). DOI: 10.2140/agt.2008.8.1833

Abstract

Let K be a hyperbolic (2,3,n) pretzel knot and M=S3K 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 n7, 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.

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Melissa Macasieb. Thomas Mattman. "Commensurability classes of $(-2,3,n)$ pretzel knot complements." Algebr. Geom. Topol. 8 (3) 1833 - 1853, 2008. https://doi.org/10.2140/agt.2008.8.1833

Information

Received: 2 April 2008; Revised: 17 July 2008; Accepted: 22 August 2008; Published: 2008
First available in Project Euclid: 20 December 2017

zbMATH: 1162.57005
MathSciNet: MR2448875
Digital Object Identifier: 10.2140/agt.2008.8.1833

Subjects:
Primary: 57M25

Rights: Copyright © 2008 Mathematical Sciences Publishers

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