拓扑切片纽结的双极滤子
几何拓扑
2021-06-29 v2
摘要
Cochran、Harvey 和 Horn 提出的双极滤子为研究拓扑切片纽结光滑协边群中的更深层结构提供了一个框架。我们证明，拓扑切片纽结双极滤子的分级商在每个大于一的阶段都具有无穷秩。为探测商中的非平凡元素，证明同时使用了高阶 amenable Cheeger-Gromov -不变量和无穷多个 Heegaard Floer 校正项 -不变量。
引用
@article{arxiv.1710.07803,
title = {The bipolar filtration of topologically slice knots},
author = {Jae Choon Cha and Min Hoon Kim},
journal= {arXiv preprint arXiv:1710.07803},
year = {2021}
}
备注
27 pages, 12 figures; the introduction has been largely revised and expositions have been improved by incorporating referee's comments; to appear in Advances in Mathematics