Faculty Publications

Quasimodular Forms And Cohomology

Document Type

Article

Keywords

cohomology, modular forms, quasimodular forms

Journal/Book/Conference Title

Bulletin of the Australian Mathematical Society

Volume

86

Issue

1

First Page

150

Last Page

163

Abstract

We construct linear maps from the spaces of quasimodular forms for a discrete subgroup τ of SL(2,ℝ) to some cohomology spaces of the group τ 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. © 2011 Australian Mathematical Publishing Association Inc.

Department

Department of Mathematics

Original Publication Date

8-1-2012

DOI of published version

10.1017/S0004972711003054

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