Universal surgery bounds on hyperbolic 3-manifolds

被引：0

作者：

Koundouros, S ^{[1
]}

机构：

[1] Univ Oxford, Inst Math, Oxford OX1 3LB, England

来源：

TOPOLOGY | 2004年 / 43卷 / 03期

基金：

英国工程与自然科学研究理事会;

关键词：

Dehn surgery; hyperbolic; 3-manifold; injectivity radius; word-hyperbolic;

D O I：

10.1016/j.top.2003.03.001

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We investigate Dehn surgery in relation to the injectivity radius of a closed hyperbolic 3-manifold M. We show that the injectivity radius has global implications for the topology of M by obtaining some universal restrictions, characterised by inj(M), on the possible surgery descriptions of M. In particular, we show that provided inj(M) is sufficiently large, then M cannot be obtained by p/q surgery on a knot in S-3 with \q\ > 4. (C) 2003 Elsevier Ltd. All rights reserved.

引用

页码：497 / 512

页数：16