关于覆叠有效刻画的一点注记及其在高秩表示中的应用
几何拓扑
2023-07-20 v1
摘要
在本注记中,我们证明了关于连通、负欧拉示性数可定向曲面的两个有限度覆叠何时同构的一个有效刻画,其判据为哪些曲线具有简单提升,并将假设弱化至考虑具有显式有界自交数的曲线。作为一个应用,我们证明了对充分大的 N,在到 SL(N, R) 的泛选定表示中,与简单闭曲线相关联的未标记迹能够区分非同构覆叠对。
引用
@article{arxiv.2307.09643,
title = {A note on an effective characterization of covers with an application to higher rank representations},
author = {Tarik Aougab and Max Lahn and Marissa Loving and Nicholas Miller},
journal= {arXiv preprint arXiv:2307.09643},
year = {2023}
}
备注
25 pages, 4 figures, 2 appendices; this paper contains the effective portion of v1 of arXiv:2210.16706 which has now been bifurcated into this posting and v2 of arXiv:2210.16706