Quasimodular Forms and Cohomology

Abstract

We construct linear maps from the spaces of quasimodular forms for a discrete subgroup Γ of SL(2, R) to some cohomology spaces of the group Γ and prove that these maps are equivariant with respect to appropriate Hecke operator actions. The results are obtained by using the fact that there is a correspondence between quasimodular forms and certain finite sequences of modular forms.2010 Mathematics subject classification: primary 11F11, secondary 11F12, 11F25, 11F75.