Lens Spaces Given from L-Space Homology 3-Spheres

Abstract

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 $2$.