新的 Heegaard Floer 切片亏格与交环数界
几何拓扑
2020-10-06 v2
摘要
我们利用纽结 Floer 同调定义了若干合同不变量,它们改进了由 Heegaard Floer 同调得到的已知切片亏格与交环数界。我们还证明了 Hendricks 与 Manolescu 的对合修正项给出了切片亏格界与交环数界。
引用
@article{arxiv.2007.07106,
title = {New Heegaard Floer slice genus and clasp number bounds},
author = {András Juhász and Ian Zemke},
journal= {arXiv preprint arXiv:2007.07106},
year = {2020}
}
备注
28 pages. Version 2 has new genus bounds, as well as a new invariant from the UV=0 version of knot Floer homology. The paper is reorganized to reflect new material, and has a new title. Many references added