pith. sign in

arxiv: 0804.0112 · v1 · pith:KRLCFZZOnew · submitted 2008-04-01 · 🧮 math.GT

Commensurability classes of (-2,3,n) pretzel knot complements

classification 🧮 math.GT
keywords knotclasscommensurabilitycomplementcomplementsknotspretzelapply
0
0 comments X
read the original abstract

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 paper has not been read by Pith yet.

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.