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Showing 2008Show all
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math.GT2008★ 17 cited
Finite surgeries on three-tangle pretzel knots
D. Futer, M. Ishikawa, Y. Kabaya +2
We classify Dehn surgeries on (p,q,r) pretzel knots that result in a manifold of finite fundamental group. The only hyperbolic pretzel knots that admit non-trivial finite surgeries…
math.GT2008★ 16 cited
Commensurability classes of (-2,3,n) pretzel knot complements
Melissa L. Macasieb, Thomas W. Mattman
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…