Lens spaces given from L-space homology 3-spheres

Abstract

We consider the problem when lens spaces are given from homology spheres, and demonstrate that many lens spaces are obtained from L-space homology sphere which the Ozsváth Szabó's correction term $d(Y)$ is equal to 2. We show an inequality of slope and genus when $Y$ is L-space and $Y_p(K)$ is lens space.

11 pages, 2 tables, 2 figures

References in corpus (3)

• Surgery formula for the renormalized Euler characteristic of Heegaard Floer homology
• Monopoles and lens space surgeries
• On the non-existence of L-space surgery structure

Cited by in corpus (2)

• Lens space surgeries and L-space homology spheres
• On the non-existence of L-space surgery structure