中文

Marden 驯顺猜想:历史与应用

几何拓扑 2010-08-03 v1

摘要

Marden 驯顺猜想预测,每个具有有限生成基本群的双曲三维流形都同胚于一个紧致三维流形的内部。该猜想最近由 Agol 和 Calegari-Gabai 证明。我们将综述该猜想的研究历史,并讨论其众多应用。

关键词

引用

@article{arxiv.1008.0118,
  title  = {Marden's Tameness Conjecture: history and applications},
  author = {Richard D. Canary},
  journal= {arXiv preprint arXiv:1008.0118},
  year   = {2010}
}

备注

30 pages, expository article based on a lecture given at the conference on "Geometry, Topology and Analysis of Locally Symmetric Spaces and Discrete Groups'' held in Beijing in July 2007. Article was published in the proceedings of that conference