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 2.6

Keywords:

• 57M25, 57M27, 57R58
• Lens surgery
• Heegaard Floer homology
• Alexander polynomial
• homology sphere