作者：Tian, YL; Zhang, WP
作者单位：New York University; Nankai University
摘要：We present a direct analytic approach to the Guillemin-Sternberg conjecture [GS] that 'geometric quantization commutes with symplectic reduction', 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 contexts.
作者：Tolman, S
作者单位：University of Illinois System; University of Illinois Urbana-Champaign
摘要：An important question with a rich history is the extent to which the symplectic category is larger than the Kahler category. Many interesting examples of non-Kahler symplectic manifolds have been constructed [T] [M] [G]. However, sufficiently large symmetries can force a symplectic manifolds to be Kahler [D] [Kn]. In this paper, we solve several outstanding problems by constructing the first symplectic manifold with large non-trivial symmetries which does not admit an invariant Kahler structur...
