Non-integral toroidal surgery on hyperbolic knots in $S^3$
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- by C. McA. Gordon, Y-Q. Wu and X. Zhang PDF
- Proc. Amer. Math. Soc. 128 (2000), 1869-1879 Request permission
Abstract:
It is shown that a hyperbolic knot in $S^{3}$ admits at most one non-integral Dehn surgery producing a toroidal manifold.References
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Additional Information
- C. McA. Gordon
- Affiliation: Department of Mathematics, University of Texas at Austin, Austin, Texas 78712
- MR Author ID: 75435
- Email: gordon@math.utexas.edu
- Y-Q. Wu
- Affiliation: Department of Mathematics, University of Iowa, Iowa City, Iowa 52242
- Email: wu@math.uiowa.edu
- X. Zhang
- Affiliation: Department of Mathematics, State University of New York–Buffalo, Buffalo, New York 14214
- MR Author ID: 346629
- Email: xinzhang@math.buffalo.edu
- Received by editor(s): May 20, 1997
- Received by editor(s) in revised form: August 3, 1998
- Published electronically: November 24, 1999
- Additional Notes: The first author was partially supported by NSF grant DMS 9626550.
The first and second authors were supported in part by Research at MSRI NSF grant #DMS 9022140. - Communicated by: Ronald A. Fintushel
- © Copyright 2000 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 128 (2000), 1869-1879
- MSC (1991): Primary 57N10, 57M25
- DOI: https://doi.org/10.1090/S0002-9939-99-05201-6
- MathSciNet review: 1644022