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- W4291471749 abstract "Eichler and Zagier developed a theory of Jacobi forms to understand and extend Maass' work on the Saito-Kurokawa conjecture. Later Skoruppa introduced skew-holomorphic Jacobi forms, which play an important role in understanding liftings of modular forms and Jacobi forms. In this paper, we explain a relation between holomorphic Jacobi forms and skew-holomorphic Jacobi forms in terms of a group cohomology. More precisely, we introduce an isomorphism from the direct sum of the space of Jacobi cusp forms on $Gamma^J$ and the space of skew-holomorphic Jacobi cusp forms on $Gamma^J$ with the same half-integral weight to the Eichler cohomology group of $Gamma^J$ with a coefficient module coming from polynomials." @default.
- W4291471749 created "2022-08-15" @default.
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- W4291471749 date "2013-01-16" @default.
- W4291471749 modified "2023-09-24" @default.
- W4291471749 title "Cohomological relation between Jacobi forms and skew-holomorphic Jacobi forms" @default.
- W4291471749 doi "https://doi.org/10.48550/arxiv.1301.3594" @default.
- W4291471749 hasPublicationYear "2013" @default.
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