Immersed surfaces and Seifert fibered surgery on Montesinos knots
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Abstract:
We will use immersed surfaces to study Seifert fibered surgery on Montesinos knots, and show that if $\frac 1{q_1-1} + \frac 1{q_2-1} + \frac 1{q_3-1} \leq 1$, then a Montesinos knot $K(\frac {p_1}{q_1}, \frac {p_2}{q_2}, \frac {p_3}{q_3})$ admits no atoroidal Seifert fibered surgery.References
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Additional Information
- Ying-Qing Wu
- Affiliation: Department of Mathematics, University of Iowa, Iowa City, Iowa 52242
- Email: wu@math.uiowa.edu
- Received by editor(s): April 23, 2011
- Received by editor(s) in revised form: September 3, 2011
- Published electronically: September 18, 2012
- © Copyright 2012
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Trans. Amer. Math. Soc. 365 (2013), 2469-2488
- MSC (2010): Primary 57N10
- DOI: https://doi.org/10.1090/S0002-9947-2012-05708-4
- MathSciNet review: 3020105