扭曲Blanchfield配对与扭曲符号差 III：应用

Maciej Borodzik; Anthony Conway; Wojciech Politarczyk

扭曲Blanchfield配对与扭曲符号差 III：应用

几何拓扑 2024-03-18 v2

作者: Maciej Borodzik , Anthony Conway , Wojciech Politarczyk

在 arXiv 上查看 ↗ PDF ↗

摘要

本文描述了如何利用扭曲Blanchfield形式算法化地计算纽结 $K$ 的某些扭曲符号差不变量。该算法在 $(2,q)$ -环面纽结上进行了实现演示。此外，利用这些不变量的卫星公式，我们还展示了如何阻碍某些迭代环面纽结的切片性。

关键词

扭曲Blanchfield形式扭曲符号差不变量纽结环面纽结卫星公式切片性

引用

@article{arxiv.2111.10631,
  title  = {Twisted Blanchfield pairings and twisted signatures III: Applications},
  author = {Maciej Borodzik and Anthony Conway and Wojciech Politarczyk},
  journal= {arXiv preprint arXiv:2111.10631},
  year   = {2024}
}

备注

35 pages, 4 figures. This is Section 9 of arXiv:1809.08791, which is now split into three papers: this is the third, the first is arxiv:2111.10632 and the second is arXiv:1809.08791. v2: Significant revision incorporating comments from a referee. Most notably Sections 5 and 6 are new. To appear in Glasgow Math. J

扭曲Blanchfield配对与扭曲符号差 III：应用

摘要

关键词

引用

备注

相关论文