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On two geometric theta lifts.

Bruinier, J. and Funke, J. (2004) 'On two geometric theta lifts.', Duke mathematical journal., 125 (1). pp. 45-90.

Abstract

The theta correspondence has been an important tool in studying cycles in locally symmetric spaces of orthogonal type. In this paper we establish for the orthogonal group O(p,2) an adjointness result between Borcherds's singular theta lift and the Kudla-Millson lift. We extend this result to arbitrary signature by introducing a new singular theta lift for O(p,q). On the geometric side, this lift can be interpreted as a differential character, in the sense of Cheeger and Simons, for the cycles under consideration.

Item Type:Article
Full text:PDF - Published Version (332Kb)
Status:Peer-reviewed
Publisher Web site:http://dx.doi.org/10.1215/S0012-7094-04-12513-8
Record Created:27 Aug 2008
Last Modified:08 Sep 2011 14:50

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