Heegaard Floer 同调与群的平衡表示
几何拓扑
2024-10-29 v2
摘要
设 G 是一个具有有限平衡表示 P 的群。基于一些额外的选择和技术性假设，我们将一个 Heegaard Floer 同调群 \widehat{HF}_P(G) 与对 (G,P) 相关联。我们证明了 \widehat{HF}_P(G) 独立于这些选择，并且在 P 上的稳定 Andrews-Curtis 变换下保持不变，这基于本文中尚未解决的两个断言。
引用
@article{arxiv.1810.07939,
title = {Heegaard Floer Homology and Balanced Presentations of Groups},
author = {Neda Bagherifard and Nasser Boroojerdian},
journal= {arXiv preprint arXiv:1810.07939},
year = {2024}
}
备注
This paper's results were based on two claims. However, we later identified an issue with those claims. We addressed this and improved our findings in two subsequent papers: arXiv:2109.13844 and arXiv:2205.14706