arXiv 1003.18432010-03math.GTmath.DG

Kleinian群的Strong convergence：破裂的蛋壳

Strong convergence of Kleinian groups: the cracked eggshell

James W. Anderson, Cyril Lecuire

备注：: To appear in Commentarii Math. Helvetici, 37 pages, 2 figures, final version

摘要：

本文利用商流形的端不变量给出了一致化一个紧致的、可定向的、可双曲化的、具有不可压缩边界的、具有强拓扑的3-流形M的离散忠实表示集SH（M）的完整描述.作为本说明的一部分，我们引入SH（M）上的坐标，扩展了通常的Ahlfors-Bers坐标。我们利用这些坐标来表示SH（M）的局部连通性，并研究了M的模群在SH（M）上的作用.

英文摘要：

In this paper we give a complete description of the set of discrete faithful representations SH(M) uniformizing a compact, orientable, hyperbolizable 3-manifold M with incompressible boundary, equipped with the strong topology, with the description given in term of the end invariants of the quotient manifolds. As part of this description, we introduce coordinates on SH(M) that extend the usual Ahlfors-Bers coordinates. We use these coordinates to show the local connectivity of SH(M) and study the action of the modular group of M on SH(M).

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。