Explicit reduction theory for SU(2,1;Z[i])

Details Explicit reduction theory for SU(2,1;Z[i]) Explicit reduction theory for SU(2,1;Z[i])

2006-01-04

arxiv.org/abs/math/0601071v1

Mathematics

Number Theory

26 pages, 5 figures

Scientific paper

Let Gamma\D be an arithmetic quotient of a symmetric space of non-compact
type. A spine D_0 is a Gamma-equivariant deformation retraction of D with
dimension equal to the virtual cohomological dimension of Gamma. We explicitly
construct a spine for the case of Gamma=SU(2,1;Z[i]). The spine is then used to
compute the cohomology of Gamma\D with various local coefficients.

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