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arXiv:0910.4882 [math.GT]AbstractReferencesReviewsResources

Immersed surfaces and Seifert fibered surgery on Montesinos knots

Ying-Qing Wu

Published 2009-10-26, updated 2011-04-20Version 2

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.

Categories: math.GT
Subjects: 57N10
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