(1,1) L-space knots
Geometric Topology
2019-02-20 v2
Abstract
We characterize the (1, 1) knots in the three-sphere and lens spaces that admit non-trivial L-space surgeries. As a corollary, 1-bridge braids in these manifolds admit non- trivial L-space surgeries. We also recover a characterization of the Berge manifold amongst 1-bridge braid exteriors.
Keywords
Cite
@article{arxiv.1610.04810,
title = {(1,1) L-space knots},
author = {Joshua Evan Greene and Sam Lewallen and Faramarz Vafaee},
journal= {arXiv preprint arXiv:1610.04810},
year = {2019}
}
Comments
17 pages, 5 figures; v2: corrects minor errors, has a new figure (Figure 2). This is the version to appear in Compositio Mathematica