A note on cabling and L-space surgeries

Abstract

We prove that the (p,q)-cable of a knot K in S3 admits a positive L-space surgery if and only if K admits a positive L-space surgery and q/p ≥ 2g(K)-1, where g(K) is the Seifert genus of K. The "if" direction is due to Hedden.

0

Turn this paper into a lesson

ArcXiv compiles a structured reading guide from this paper's metadata: plain-English importance, contributions, prerequisite concepts, which sections to read first, flashcards, and a quiz. Grounded in the abstract, never invented.

Discussion (0)

Sign in to join the discussion.

Loading comments…