(1,1) almost L-space knots
Geometric Topology
2025-10-15 v2
Abstract
We give a diagrammatic characterization of the knots in the three-sphere and lens spaces which admit large Dehn surgeries to manifolds with Heegaard Floer homology of next-to-minimal rank. This is inspired by a corresponding result for knots which admit large Dehn surgeries to manifolds with Heegaard Floer homology of minimal rank due to Greene-Lewallen-Vafaee.
Keywords
Cite
@article{arxiv.2304.11475,
title = {(1,1) almost L-space knots},
author = {Fraser Binns and Hugo Zhou},
journal= {arXiv preprint arXiv:2304.11475},
year = {2025}
}
Comments
22 pages, 14 figures. Revisions throughout following the suggestions from the referee. This is the version to appear in the Indiana University Mathematics Journal