同余三维流形的解析、Reidemeister 和同调挠率
几何拓扑
2018-02-14 v2 数论
摘要
从 math.DG:1212.3161 的结果出发，我们证明了对于给定的 Bianchi 群、某些自然系数模以及大量同余子群序列，第一同调的挠子群的大小随指数呈指数增长（我们给出了显式速率）。我们还证明了尖点形式空间不可约分量的极限重数结果。
引用
@article{arxiv.1307.2845,
title = {Analytic, Reidemeister and homological torsion for congruence three--manifolds},
author = {Jean Raimbault},
journal= {arXiv preprint arXiv:1307.2845},
year = {2018}
}
备注
Overdue update, the main result has been much weakened due to a gap in the last step of the proof (we get only an upper bound on the limsup instead of a limit). We include a conditional statement of the previous version, however checking the condition seems hard