Seifert fibered surgery and Rasmussen invariant

preprint2012arXivOpen access

Abstract

We give a new criterion for a given knot to be a Montesinos knot by using the Rasmussen invariant and the signature. We apply the criterion to study Seifert fibered surgery on a strongly invertible knot, and show that a (p,q,q)(p,q,q)-pretzel knot with integers p,q≥2p,q \ge 2 admits no Seifert fibered surgery.

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