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arXiv · 0912.4046

A note on cabling and L-space surgeries

Jennifer Hom
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Abstract

We prove that the (p,q)-cable of a knot K in S^3 admits a positive L-space surgery if and only if K admits a positive L-space surgery and q/p \geq 2g(K)-1, where g(K) is the Seifert genus of K. The "if" direction is due to Hedden.

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Jennifer Hom. 2009-12-20. A note on cabling and L-space surgeries. https://doi.org/10.2140/agt.2011.11.219

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