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Dehn surgery on knots in S^3 producing Nil Seifert fibred spaces

Ni, Yi and Zhang, Xingru (2014) Dehn surgery on knots in S^3 producing Nil Seifert fibred spaces. . (Unpublished)

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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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Alfred P. Sloan FoundationUNSPECIFIED
Record Number:CaltechAUTHORS:20150421-115833976
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:56818
Deposited By: George Porter
Deposited On:23 Apr 2015 16:36
Last Modified:03 Oct 2019 08:17

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