RIGIDITY OF REPRESENTATIONS IN SO(4,1) FOR DEHN FILLINGS ON 2-BRIDGE KNOTS

被引：2

作者：

Francaviglia, Stefano ^{[1
]}

Porti, Joan ^{[2
]}

机构：

[1] Univ Pisa, Dipartimento Matemat Applicata U Dini, I-56127 Pisa, Italy

[2] Univ Autonoma Barcelona, Dept Matemat, Bellaterra 08193, Spain

来源：

PACIFIC JOURNAL OF MATHEMATICS | 2008年 / 238卷 / 02期

基金：

欧洲研究理事会;

关键词：

fuchsian representation; global rigidity; two-bridge knot; cuspidal cohomology; Dehn filling;

D O I：

10.2140/pjm.2008.238.249

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove that, for a hyperbolic two-bridge knot, infinitely many Dehn fillings are rigid in SO(0)(4, 1). Here rigidity means that any discrete and faithful representation in SO(0)(4, 1) is conjugate to the holonomy representation in SO(0)(3, 1). We also show local rigidity for almost all Dehn fillings.

引用

页码：249 / 274

页数：26

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