A note on cabling and L-space surgeries

Details A note on cabling and L-space surgeries A note on cabling and L-space surgeries

2009-12-20

arxiv.org/abs/0912.4046v1

Algebraic & Geometric Topology 11 (2011) 219-223

Mathematics

Geometric Topology

3 pages

Scientific paper

10.2140/agt.2011.11.219

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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