An analytic proof of the geometric quantization conjecture of Guillemin-Sternberg
An analytic proof of the geometric quantization conjecture of Guillemin-Sternberg
复制标题
Guillemin-Sternberg几何量子化猜想的解析证明
DOI：
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发表时间：
1998
期刊：
影响因子：
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通讯作者：
Weiping Zhang
中科院分区：
文献类型：
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作者：
Youliang Tian;Weiping Zhang
抽象。本文对Meinrenken [M1]，[M2]和Vergne [V1]，[V2]等人最近证明的Guillemin-Sternberg猜想（几何量子化与辛约化可交换）给出了一种直接的分析方法，除了为该猜想提供了一个新的证明外，我们的方法还立即导致了在各种情况下的进一步推广.
Abstract. 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.