Hyperplane sections in arithmetic hyperbolic manifolds

Nicolas Bergeron; Frédéric Haglund; Daniel T. Wise

doi:10.1112/jlms/jdq082

Hyperplane sections in arithmetic hyperbolic manifolds

Nicolas Bergeron, Frédéric Haglund, Daniel T. Wise

Research output: Contribution to journal › Article › peer-review

Abstract

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.

Original language	English
Pages (from-to)	431-448
Number of pages	18
Journal	Journal of the London Mathematical Society
Volume	83
Issue number	2
DOIs	https://doi.org/10.1112/jlms/jdq082
State	Published - Apr 2011
Externally published	Yes

All Science Journal Classification (ASJC) codes

General Mathematics

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10.1112/jlms/jdq082

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abstract = "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.",

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year = "2011",

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DO - 10.1112/jlms/jdq082

M3 - مقالة

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EP - 448

JO - Journal of the London Mathematical Society

JF - Journal of the London Mathematical Society

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ER -

Hyperplane sections in arithmetic hyperbolic manifolds

Abstract

All Science Journal Classification (ASJC) codes

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