Geodesic
A note on cabling and L–space surgeries
Hom, Jennifer1
1Department of Mathematics, University of Pennsylvania, 209 S 33rd St, Philadelphia PA 19104, USA
Algebraic and Geometric Topology, Tome 11 (2011) no. 1, pp. 219-223
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We prove that the (p,q)–cable of a knot K ⊂ S3 admits a positive L–space surgery if and only if K admits a positive L–space surgery and q∕p ≥ 2g(K) − 1, where g(K) is the Seifert genus of K. The “if” direction is due to Hedden [Int. Math. Res. Not. 2009 (2009) 2248–2274].

DOI : 10.2140/agt.2011.11.219
Keywords: $L$–space, cabling, knot Floer homology, Heegaard Floer homology

Hom, Jennifer  1

1 Department of Mathematics, University of Pennsylvania, 209 S 33rd St, Philadelphia PA 19104, USA 
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Hom, Jennifer. A note on cabling and L–space surgeries. Algebraic and Geometric Topology, Tome 11 (2011) no. 1, pp. 219-223. doi: 10.2140/agt.2011.11.219

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