QUASIMODULAR FORMS AND COHOMOLOGY

Publisher: Cambridge University Press

E-ISSN: 1755-1633|86|1|150-163

ISSN: 0004-9727

Source: Bulletin of the Australian Mathematical Society, Vol.86, Iss.1, 2011-12, pp. : 150-163

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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.