Toroidal Seifert fibered surgeries on alternating knots

Kazuhiro Ichihara; In Dae Jong

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arXiv · 1301.5190

Toroidal Seifert fibered surgeries on alternating knots

Kazuhiro Ichihara·In Dae Jong

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Abstract

We give a complete classification of toroidal Seifert fibered surgeries on alternating knots. Precisely, we show that if an alternating knot admits a toroidal Seifert fibered surgery, then the knot is either the trefoil knot and the surgery slope is zero, or the connected sum of a (2,p)-torus knot and a (2,q)-torus knot and the surgery slope is 2(p+q) with |p|, |q| at least three.

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BibTeX RIS

Kazuhiro Ichihara, In Dae Jong. 2013-01-22. Toroidal Seifert fibered surgeries on alternating knots. https://arxiv.org/abs/1301.5190

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