Jw. Hoffman et Sh. Weintraub, COHOMOLOGY OF THE SIEGEL MODULAR GROUP OF DEGREE-2 AND LEVEL-4, Memoirs of the American Mathematical Society, 133(631), 1998, pp. 59
We compute the cohomology of the principal congruence subgroup Gamma(2
)(4) subset of Sp(4)(Z) consisting of matrices gamma = 1 mod 4. This i
s done by computing the cohomology of the moduli space M-4. We determi
ne the mixed Hedge structure on this cohomology, as well as the inters
ection cohomology of the Satake compactification of M-4.