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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