Exceptional surgeries on alternating knots
arXiv:1310.3472
Abstract
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.
30 pages, 19 figures. v2: recomputation performed via the newest version of hikmot, v3: revised according to referees' comments, to appear in Comm. Anal. Geom. v4: post-published version. typos corrected. the site url where the ancillary files are downloadable is updated
References in corpus (6)
- Ricci flow with surgery on three-manifolds
- Finite extinction time for the solutions to the Ricci flow on certain three-manifolds
- Verified computations for hyperbolic 3-manifolds
- Seifert fibered surgery on Montesinos knots
- Small Seifert fibered surgery on hyperbolic pretzel knots
- Toroidal Seifert fibered surgeries on alternating knots