Mom technology and volumes of hyperbolic 3-manifolds

被引：15

作者：

Gabai, David ^{[1
]}

Meyerhoff, Robert ^{[2
]}

Milley, Peter

机构：

[1] Princeton Univ, Dept Math, Princeton, NJ 08544 USA

[2] Boston Coll, Dept Math, Chestnut Hill, MA 02467 USA

来源：

COMMENTARII MATHEMATICI HELVETICI | 2011年 / 86卷 / 01期

基金：

澳大利亚研究理事会; 美国国家科学基金会;

关键词：

Mom technology; hyperbolic; 3-manifolds; volume; MANIFOLDS;

D O I：

10.4171/CMH/221

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper introduces Mom technology to understand low volume hyperbolic 3-manifolds; it is used in [GMM3] and [M1] to show that the Weeks manifold is the unique closed orientable hyperbolic 3-manifold of least volume. Here we enumerate the hyperbolic Mom-n manifolds for n <= 3, offer a conjectural enumeration when n = 4, and establish important technical results about embedding hyperbolic Mom-n manifolds into hyperbolic 3-manifolds.

引用

页码：145 / 188

页数：44

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