Explicit reduction theory for SU(2,1;Z[i])
Abstract
Let Gamma be an arithmetic quotient of a symmetric space of non-compact type. A spine D0 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 with various local coefficients.
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