Immersed surfaces and Seifert fibered surgery on Montesinos knots

Abstract

We will use immersed surfaces to study Seifert fibered surgery on Montesinos knots, and show that if 1q1-1 + 1q2-1 + 1q3-1 ≤ 1 then a Montesinos knot K(p1q1, p2q2, p3q3) admits no atoroidal Seifert fibered surgery.

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