L-space knots have no essential Conway spheres
Geometric Topology
2022-12-21 v2 Quantum Algebra
Symplectic Geometry
Abstract
We prove that L-space knots do not have essential Conway spheres with the technology of peculiar modules, a Floer theoretic invariant for tangles.
Cite
@article{arxiv.2006.03521,
title = {L-space knots have no essential Conway spheres},
author = {Tye Lidman and Allison H. Moore and Claudius Zibrowius},
journal= {arXiv preprint arXiv:2006.03521},
year = {2022}
}
Comments
25 pages, 11 color figures created with PSTricks and TikZ. v1: Comments welcome! v2: This version fixes a mistake that previously occurred in Figure 10 and the proof of Proposition 5.1. The correction simplifies the overall argument. This is the version accepted for publication at Geometry & Topology