Coxeter groups and hyperbolic manifolds

Details Coxeter groups and hyperbolic manifolds Coxeter groups and hyperbolic manifolds

2002-05-14

arxiv.org/abs/math/0205157v2

Mathematische Annalen 330 (2004) 127-150

Mathematics

Geometric Topology

No major changes, just some minor improvements and corrections

Scientific paper

The rich theory of Coxeter groups is used to provide an algebraic
construction of finite volume hyperbolic n-manifolds. Combinatorial properties
of finite images of these groups can be used to compute the volumes of the
resulting manifolds. Three examples, in 4,5 and 6-dimensions, are given, each
of very small volume, and in one case of smallest possible volume.

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