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QUASIMODULAR FORMS AND COHOMOLOGY

Part of: Discontinuous groups and automorphic forms

Published online by Cambridge University Press:  15 December 2011

Min Ho Lee
Min Ho Lee*
Affiliation:
Department of Mathematics, University of Northern Iowa, Cedar Falls, IA 50614, USA (email: lee@math.uni.edu)
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Abstract

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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.

Keywords

quasimodular formsmodular formscohomology

MSC classification

Secondary: 11F11: Holomorphic modular forms of integral weight 11F12: Automorphic forms, one variable 11F25: Hecke-Petersson operators, differential operators (one variable) 11F75: Cohomology of arithmetic groups
Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 86 , Issue 1 , August 2012 , pp. 150 - 163
Copyright
Copyright © Australian Mathematical Publishing Association Inc. 2011

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