On two geometric theta lifts

Bruinier, J.; Funke, J.

doi:10.1215/s0012-7094-04-12513-8

On two geometric theta lifts

Bruinier, J.; Funke, J.

Authors

J. Bruinier

Professor Jens Funke jens.funke@durham.ac.uk
Professor

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.

Citation

Bruinier, J., & Funke, J. (2004). On two geometric theta lifts. Duke Mathematical Journal, 125(1), 45-90. https://doi.org/10.1215/s0012-7094-04-12513-8

Journal Article Type	Article
Publication Date	Jan 1, 2004
Deposit Date	Aug 27, 2008
Publicly Available Date	Aug 27, 2008
Journal	Duke Mathematical Journal
Print ISSN	0012-7094
Publisher	Duke University Press
Peer Reviewed	Peer Reviewed
Volume	125
Issue	1
Pages	45-90
DOI	https://doi.org/10.1215/s0012-7094-04-12513-8