COMMENSURABILITY CLASSES OF (−2, 3, n) PRETZEL KNOT COMPLEMENTS

نویسندگان

  • MELISSA L. MACASIEB
  • THOMAS W. MATTMAN
چکیده

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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تاریخ انتشار 2008