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On the Davis hyperbolic 4-manifold

✍ Scribed by John G. Ratcliffe; Steven T. Tschantz

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
152 KB
Volume
111
Category
Article
ISSN
0166-8641

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✦ Synopsis

We algebraically characterize the Davis hyperbolic 4-manifold as the orbit space of the unique torsion-free normal subgroup of index 14,400 of the (5, 3, 3, 5) Coxeter simplex reflection group acting on hyperbolic 4-space. We determine the homology, injectivity radius, and the group of isometries of the Davis manifold. We show that the Davis manifold is a spin manifold.

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