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

Abstract

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.

26 pages, 5 figures

References in corpus (1)

• On the existence of spines for Q-rank 1 groups

Cited by in corpus (1)

• A fundamental domain of Ford type for $SO(3,Z[i])\backslash SO(3,C)/SO(3)$, and for $SO(2,1{)}_Z\backslash SO(2,1)/SO(2)$