Seifert fibered surgery and Rasmussen invariant

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 $(p,q,q)$-pretzel knot with integers $p,q\ge 2$ admits no Seifert fibered surgery.

15 pages, 8 figures