CR REDUCTION ON A CIRCLE BUNDLE OVER A COMPLEX MANIFOLD

Please use this identifier to cite or link to this item: http://ir.lib.ncu.edu.tw/handle/987654321/77820

Title:	CR REDUCTION ON A CIRCLE BUNDLE OVER A COMPLEX MANIFOLD
Authors:	林京民;Lin, Ching-Min
Contributors:	數學系
Keywords:	柯西黎曼流形;圓叢;約化與量子化的交換性;CR manifold;circle bundle;Symplectic reduction;Guillemin-Sternberg theorem;quantization commuting with reduction
Date:	2018-07-06
Issue Date:	2018-08-31 14:58:15 (UTC+8)
Publisher:	國立中央大學
Abstract:	在這篇論文中，我們首先回顧辛約化，尤其是關於約化與量子化的交換性的Guillemin-Sternberg定理。再來我們回顧柯西黎曼約化的構造。最後我們試著在有柯西黎曼條件的凱勒流形上的圓叢上定出Guillemin-Sternberg定理。;In this thesis we first review the symplectic reduction, in particular, the Guillemin-Sternberg theorem about quantization commuting with reduction. Then we review the construction of the CR reduction. Finally we formulate the Guillemin-Sternberg theorem on a circle bundle over a K\"{a}hler manifold in the CR setting.
Appears in Collections:	[Graduate Institute of Mathematics] Electronic Thesis & Dissertation

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