# A note on cabling and L-space surgeries - Mathematics > Geometric Topology

A note on cabling and L-space surgeries - Mathematics > Geometric Topology - Download this document for free, or read online. Document in PDF available to download.

Abstract: We prove that the p,q-cable of a knot K in S^3 admits a positive L-spacesurgery if and only if K admits a positive L-space surgery and q-p \geq2gK-1, where gK is the Seifert genus of K. The -if- direction is due toHedden.

Author: ** Jennifer Hom**

Source: https://arxiv.org/