Cohomology of the Siegel modular group of degree two and level four

Authors

J. William Hoffman
Steven H. Weintraub

Document Type

Article

Publication Date

5-1-1998

Abstract

We compute the cohomology of the principal congruence subgroup Γ2(4) ⊂ Sp4(ℤ) consisting of matrices γ≡ 1 mod 4. This is done by computing the cohomology of the moduli space M4. We determine the mixed Hodge structure on this cohomology, as well as the intersection cohomology of the Satake compactification of M4.

Publication Source (Journal or Book title)

Memoirs of the American Mathematical Society

Recommended Citation

Hoffman, J., & Weintraub, S. (1998). Cohomology of the Siegel modular group of degree two and level four. Memoirs of the American Mathematical Society, 133 (631) Retrieved from https://repository.lsu.edu/mathematics_pubs/506