Hyperplane sections in arithmetic hyperbolic manifolds

被引：63

作者：

Bergeron, Nicolas ^{[1
]}

Haglund, Frederic ^{[3
]}

Wise, Daniel T. ^{[2
]}

机构：

[1] Univ Paris 06, CNRS, Inst Math Jussieu, UMR 7586, F-75252 Paris 05, France

[2] McGill Univ, Dept Math & Stat, Montreal, PQ H3A 2K6, Canada

[3] Univ Paris 11, Math Lab, F-91405 Orsay, France

来源：

JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES | 2011年 / 83卷

关键词：

SUBGROUPS;

D O I：

10.1112/jlms/jdq082

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove that the fundamental groups of 'standard' arithmetic hyperbolic manifolds virtually retract onto their geometrically finite subgroups. In particular, this implies that the homology groups of immersed totally geodesic hypersurfaces of compact arithmetic hyperbolic manifolds virtually inject in the homology groups of the ambient manifold.

引用

页码：431 / 448

页数：18

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