A note on cabling and L-space surgeries

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.

3 pages

References in corpus (3)

• Floer homology and knot complements
• Lens space surgeries and L-space homology spheres
• On knot Floer homology and cabling II

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• Framed Floer Homology
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• A note on the concordance invariants epsilon and upsilon