由切片亏格至多为2的纽结整数手术所界的确定格
几何拓扑
2024-09-09 v2
摘要
我们分类了由右旋三叶结的正整数解剖手术所界的具有无挠同调的光滑4-流形所产生的正定相交形式。对(2,5)-环面纽结给出了类似但稍不完整的分类,并对切片亏格至多为2的纽结的整数手术获得了类似结果。证明使用了来自Yang--Mills瞬子规范理论与Heegaard Floer校正项的输入。
引用
@article{arxiv.1807.11931,
title = {On definite lattices bounded by integer surgeries along knots with slice genus at most 2},
author = {Marco Golla and Christopher Scaduto},
journal= {arXiv preprint arXiv:1807.11931},
year = {2024}
}
备注
20 pages, 6 figures; final version, to appear in the Transactions of the AMS