Communications in Analysis and Geometry
Volume 24 (2016)
Exceptional surgeries on alternating knots
Pages: 337 – 377
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 $q \geq 5$ have no non-trivial exceptional surgeries. This gives the final step in a complete classification of exceptional surgeries on arborescent knots.
exceptional surgery, Seifert fibered surgery, alternating knot
2010 Mathematics Subject Classification
Primary 57M20. Secondary 57M25.
Published 14 June 2016