$L^2$-Alexander挠率的首项系数
几何拓扑
2021-05-07 v2
摘要
我们根据双曲体积以及通过沿某些曲面切割 得到的缝合流形的相对 -挠率，给出 -流形 的 -Alexander挠率首项系数的上下界。我们证明对于众多纽结外空间族，下界与上界相等，特别是对于2-桥纽结的外空间。特别地，我们显式计算了2-桥纽结的首项系数。
引用
@article{arxiv.1806.10965,
title = {The leading coefficient of the $L^2$-Alexander torsion},
author = {Fathi Ben Aribi and Stefan Friedl and Gerrit Herrmann},
journal= {arXiv preprint arXiv:1806.10965},
year = {2021}
}
备注
v2, final version : 33 pages, 5 figures. we rewrote parts of the paper, we added details to the proofs and we added Figure 3 for clarity, but the mathematical content is globally unchanged. Accepted for publication at the Annales de l'Institut Fourier