On the set of L-space surgeries for links
Abstract
It it known that the set of L-space surgeries on a nontrivial L-space knot is always bounded from below. However, already for two-component torus links the set of L-space surgeries might be unbounded from below. For algebraic two-component links we provide three complete characterizations for the boundedness from below: one in terms of the -function, one in terms of the Alexander polynomial, and one in terms of the embedded resolution graph. They show that the set of L-space surgeries is bounded from below for most algebraic links. In fact, the used property of the -function is a sufficient condition for non-algebraic L-space links as well.
Cite
@article{arxiv.1509.01170,
title = {On the set of L-space surgeries for links},
author = {Eugene Gorsky and András Némethi},
journal= {arXiv preprint arXiv:1509.01170},
year = {2018}
}
Comments
28 pages, 13 figures; v2: Major revision, we prove a complete characterization of algebraic links with bounded below sets of L-space surgeries