Pseudo-Eisenstein forms and cohomology¶of arithmetic groups. I |
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Authors: | Jürgen Rohlfs Birgit Speh |
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Institution: | Katholische Universit?t Eichst?tt, Ostenstr. 26–28, 85072 Eichst?tt, Germany.?E-mail: juergen.rohlfs@ku-eichstaett.de, DE Cornell University, Ithaca, NY 14853-7901, USA. E-mail: speh@math.cornell.edu, US
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Abstract: | Let ψ be a compactly supported closed differential form on the eP] of the Borel–Serre boundary of an arithmetically defined locally symmetric space S. A closed compactly supported differential form E (ψ) on S is defined by a pseudo-Eisenstein series attached to ψ. Its degree is the degree of ψ shifted by the codimension of eP] in S. Non-vanishing results for the cohomology class E(ψ)] represented by E(ψ) are obtained by use of Poincaré duality and results on cohomology classes represented by ordinary Eisenstein series.
Received: 21 July 2001 / Revised version: 17 September 2001 |
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Keywords: | Mathematics Subject Classification (2000): 11F75 |
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