ON PI-HYPERBOLIC KNOTS WHICH ARE DETERMINED BY THEIR 2-FOLD AND 4-FOLD CYCLIC BRANCHED-COVERINGS

被引：10

作者：

BOILEAU, M

FLAPAN, E

机构：

[1] UNIV TOULOUSE 3,URA 1408,F-31062 TOULOUSE,FRANCE

[2] POMONA COLL,DEPT MATH,CLAREMONT,CA 91711

来源：

TOPOLOGY AND ITS APPLICATIONS | 1995年 / 61卷 / 03期

关键词：

KNOTS; CYCLIC BRANCHED COVERING; HYPERBOLIC MANIFOLDS;

D O I：

10.1016/0166-8641(94)00041-Z

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We give sufficient conditions for a pi-hyperbolic knot to be determined, up to homeomorphism in S-3, by the topological types of its 2-fold and 4-fold cyclic branched coverings. We obtain also sufficient conditions on a pi-hyperbolic link to be determined by its 2-fold branched covering.

引用

页码：229 / 240

页数：12

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