Haken流形的Margulis数
几何拓扑
2011-06-28 v3
摘要
对于每个闭双曲Haken三维流形,更一般地,对于任何同胚于Haken流形内部的超曲三维流形M,数0.286是一个Margulis数。如果M具有非零的第一贝蒂数,或者M是闭的且包含一个半纤维,那么0.292是M的一个Margulis数。
引用
@article{arxiv.1006.3467,
title = {Margulis numbers for Haken manifolds},
author = {Marc Culler and Peter B. Shalen},
journal= {arXiv preprint arXiv:1006.3467},
year = {2011}
}
备注
25 pages. Some statements were clarified some typos were corrected and some of the propositions were generalized