QUASIMODULAR FORMS AND COHOMOLOGY

Type: Article

Publication Date: 2011-12-15

Citations: 1

DOI: https://doi.org/10.1017/s0004972711003054

Abstract

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.

Locations

  • Bulletin of the Australian Mathematical Society - View - PDF

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