Article ID Journal Published Year Pages File Type
4595572 Journal of Number Theory 2008 28 Pages PDF
Abstract

Let Γ\D be an arithmetic quotient of a symmetric space of non-compact type. A spine D0 is a Γ-equivariant deformation retraction of D with dimension equal to the virtual cohomological dimension of Γ. We explicitly construct a spine for the case of Γ=SU(2,1;Z[i]). The spine is then used to compute the cohomology of Γ\D with various local coefficients.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory