Explicit reduction theory for SU(2,1;Z[i])
Number Theory
2007-05-23 v1
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.
Keywords
Cite
@article{arxiv.math/0601071,
title = {Explicit reduction theory for SU(2,1;Z[i])},
author = {Dan Yasaki},
journal= {arXiv preprint arXiv:math/0601071},
year = {2007}
}
Comments
26 pages, 5 figures