Torsion in the homology of finite covers of 3-manifolds

Autor:	Friedl, Stefan, Herrmann, Gerrit
Rok vydání:	2017
Předmět:	Mathematics - Geometric Topology
Druh dokumentu:	Working Paper
Popis:	Let $N$ be a prime 3-manifold that is not a closed graph manifold. Building on a result of Hongbin Sun and using a result of Asaf Hadari we show that for every $k\in\Bbb{N}$ there exists a finite cover $\tilde{N}$ of $N$ such that $|\operatorname{Tor} H_1(\tilde{N};\Bbb{Z})|>k$. Comment: 9 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1710.08983 Zobrazit plný text záznamu View this record from Arxiv