Exceptional surgeries on alternating knots

17 Mar 2015  ·  Ichihara Kazuhiro, Masai Hidetoshi ·

We give a complete classification of exceptional surgeries on hyperbolic alternating knots in the 3-sphere. As an appendix, we also show that the Montesinos knots M (-1/2, 2/5, 1/(2q + 1)) with q at least 5 have no non-trivial exceptional surgeries... This gives the final step in a complete classification of exceptional surgery on arborescent knots. read more

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Geometric Topology