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QUASIMODULAR FORMS AND VECTOR BUNDLES

Part of: Discontinuous groups and automorphic forms

Published online by Cambridge University Press:  02 July 2009

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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Modular forms for a discrete subgroup Γ of SL(2,ℝ) can be identified with holomorphic sections of line bundles over the modular curve U corresponding to Γ, and quasimodular forms generalize modular forms. We construct vector bundles over U whose sections can be identified with quasimodular forms for Γ.

Keywords

quasimodular formsmodular formsvector bundles

MSC classification

Secondary: 11F11: Holomorphic modular forms of integral weight
Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 80 , Issue 3 , December 2009 , pp. 402 - 412
Copyright
Copyright © Australian Mathematical Publishing Association Inc. 2009

References

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