Commensurability classes of (−2,3,n) pretzel knot complements
نویسندگان
چکیده
منابع مشابه
COMMENSURABILITY CLASSES OF (−2, 3, n) PRETZEL KNOT COMPLEMENTS
Let K be a hyperbolic (−2, 3, n) pretzel knot and M = S \ 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 6= 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.
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ژورنال
عنوان ژورنال: Algebraic & Geometric Topology
سال: 2008
ISSN: 1472-2739,1472-2747
DOI: 10.2140/agt.2008.8.1833