L 空间纽结没有本质 Conway 球面
几何拓扑
2022-12-21 v2 量子代数
辛几何
摘要
我们利用 peculiar 模（一种用于缠结的 Floer 理论不变量）这一技术研究证明，L 空间纽结不具有本质 Conway 球面。
引用
@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}
}
备注
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