Professor Jens Funke jens.funke@durham.ac.uk
Professor
Cycles in hyperbolic manifolds of non-compact type and Fourier coefficients of Siegel modular forms
Funke, J.; Millson, J.
Authors
J. Millson
Abstract
Using the theta correspondence, we study a lift from (not necessarily rapidly decreasing) closed differential (p−n)-forms on a non-compact arithmetic quotient of hyperbolic p-space to Siegel modular forms of degree n. This generalizes earlier work of Kudla and the second named author (in the case of hyperbolic space). We give a cohomological interpretation of the lift and analyze its Fourier expansion in terms of periods over certain cycles. For Riemann surfaces, i.e., the case p= 2, we obtain a complete description using the theory of Eisenstein cohomology.
Citation
Funke, J., & Millson, J. (2002). Cycles in hyperbolic manifolds of non-compact type and Fourier coefficients of Siegel modular forms. manuscripta mathematica, 107(4), 409-449. https://doi.org/10.1007/s002290100241
Journal Article Type | Article |
---|---|
Publication Date | Apr 1, 2002 |
Deposit Date | May 13, 2014 |
Publicly Available Date | Mar 28, 2024 |
Journal | manuscripta mathematica |
Print ISSN | 0025-2611 |
Electronic ISSN | 1432-1785 |
Publisher | Springer |
Peer Reviewed | Peer Reviewed |
Volume | 107 |
Issue | 4 |
Pages | 409-449 |
DOI | https://doi.org/10.1007/s002290100241 |
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Copyright Statement
The final publication is available at Springer via http://dx.doi.org/10.1007/s002290100241.
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