Exceptional surgeries on alternating knots
Geometric Topology
2023-09-26 v4
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.
Keywords
Cite
@article{arxiv.1310.3472,
title = {Exceptional surgeries on alternating knots},
author = {Kazuhiro Ichihara and Hidetoshi Masai},
journal= {arXiv preprint arXiv:1310.3472},
year = {2023}
}
Comments
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