Tangle free permutations and the Putman-Wieland property of Random covers

Autor:	Klukowski, Adam, Marković, Vladimir
Rok vydání:	2024
Předmět:	Mathematics - Geometric Topology Mathematics - Metric Geometry Primary 20H10 20P05
Druh dokumentu:	Working Paper
Popis:	Let $\Sigma^p_g$ denote a surface of genus $g$ and with $p$ punctures. Our main result is that the fraction of degree $n$ covers of $\Sigma^p_g$ which have the Putman-Wieland property tends to $1$ as $n\to \infty$. In addition, we show that the monodromy of a random cover of $\Sigma^p_g$ is asymptotically almost surely tangle free.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2402.19018 Zobrazit plný text záznamu View this record from Arxiv