AN ANALYTIC PROOF OF THE GEOMETRIC-QUANTIZATION CONJECTURE OF GUILLEMIN-STERNBERG

Authors
TIAN YL ZHANG WP
Citation
Yl. Tian et Wp. Zhang, AN ANALYTIC PROOF OF THE GEOMETRIC-QUANTIZATION CONJECTURE OF GUILLEMIN-STERNBERG, Inventiones Mathematicae, 132(2), 1998, pp. 229-259
Citations number
32
Categorie Soggetti
Mathematics,Mathematics
Journal title
Inventiones Mathematicae → ACNP
ISSN journal
00209910
Volume
132
Issue
2
Year of publication
1998
Pages
229 - 259
Database
ISI
SICI code
0020-9910(1998)132:2<229:AAPOTG>2.0.ZU;2-S
Abstract
We present a direct analytic approach to the Guillemin-Sternberg conje cture [GS] that 'geometric quantization commutes with symplectic reduc tion', which was proved recently by Meinrenken [M1], [M2] and Vergne [ V1], [V2] et al. Besides providing a new proof of this conjecture, our methods also lead immediately to further extensions in various contex ts.