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QUASIMODULAR FORMS AND COHOMOLOGY

  • Min Ho Lee (a1)

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.

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References

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[1]Choie, Y. and Lee, M. H., ‘Quasimodular forms, Jacobi-like forms, and pseudodifferential operators’, Preprint.
[2]Eskin, A. and Okounkov, A., ‘Asymptotics of numbers of branched coverings of a torus and volumes of moduli spaces of holomorphic differentials’, Invent. Math. 145 (2001), 59103.
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[8]Martin, F. and Royer, E., ‘Rankin–Cohen brackets on quasimodular forms’, J. Ramanujan Math. Soc. 24 (2009), 213233.
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QUASIMODULAR FORMS AND COHOMOLOGY

  • Min Ho Lee (a1)

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