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Lens spaces given from L-space homology 3-spheres. (English) Zbl 1187.57011

Summary: We consider the problem of when an L-space homology sphere gives rise to lens spaces. We will show that when a knot in an L-space homology sphere \(Y\) yields \(L(p,q)\) by an integral Dehn surgery, then the slope \(p\) is bounded by the genus of the knot and the correction term of \(Y\), and we will demonstrate that many lens spaces are obtained from an L-space homology sphere whose correction term is equal to 2.

MSC:

57M25 Knots and links in the \(3\)-sphere (MSC2010)
57M27 Invariants of knots and \(3\)-manifolds (MSC2010)
57R58 Floer homology
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