Seifert fibered surgery and Rasmussen invariant

Details Seifert fibered surgery and Rasmussen invariant Seifert fibered surgery and Rasmussen invariant

2011-02-06

arxiv.org/abs/1102.1117v1

Mathematics

Geometric Topology

14 pages, 8 figures

Scientific paper

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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