Ni, Yi and Zhang, Xingru (2014) Dehn surgery on knots in S^3 producing Nil Seifert fibred spaces. . (Unpublished) https://resolver.caltech.edu/CaltechAUTHORS:20150421-115833976
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Abstract
We prove that there are exactly 6 Nil Seifert fibred spaces which can be obtained by Dehn surgeries on non-trefoil knots in S^3, with {60, 144, 156, 288, 300} as the exact set of all such surgery slopes up to taking the mirror images of the knots. We conjecture that there are exactly 4 specific hyperbolic knots in S^3 which admit Nil Seifert fibred surgery. We also give some more general results and a more general conjecture concerning Seifert fibred surgeries on hyperbolic knots in S^3.
| Item Type: | Report or Paper (Discussion Paper) | ||||||||
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| Additional Information: | The first author was partially supported by NSF grant numbers DMS-1103976, DMS-1252992, and an Alfred P. Sloan Research Fellowship. | ||||||||
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| Record Number: | CaltechAUTHORS:20150421-115833976 | ||||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20150421-115833976 | ||||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||||||
| ID Code: | 56818 | ||||||||
| Collection: | CaltechAUTHORS | ||||||||
| Deposited By: | George Porter | ||||||||
| Deposited On: | 23 Apr 2015 16:36 | ||||||||
| Last Modified: | 03 Oct 2019 08:17 |
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