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arxiv: 1102.1117 · v2 · pith:PCC5G55Bnew · submitted 2011-02-06 · 🧮 math.GT

Seifert fibered surgery and Rasmussen invariant

classification 🧮 math.GT
keywords knotfiberedseifertsurgerycriterioninvariantrasmussenadmits
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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.

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