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翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Symplectic category ： ウィキペディア英語版 Symplectic category In mathematics, Weinstein's symplectic category is (roughly) a category whose objects are symplectic manifolds and whose morphisms are canonical relations, inclusions of Lagrangian submanifolds ''L'' into $M\; \backslash times\; N^$ where the superscript minus means minus the given symplectic form (for example, the graph of a symplectomorphism; hence, minus). The notion was introduced by A. Weinstein, according to whom "Quantization problems〔He means geometric quantization.〕 suggest that the category of symplectic manifolds and symplectomorphisms be augmented by the inclusion of canonical relations as morphisms." The composition of canonical relations is given by a fiber product. Strictly speaking, the symplectic category is not a well-defined category (since the composition may not be well-defined) without some transversality conditions. == References == * 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Symplectic category」の詳細全文を読む スポンサード リンク 翻訳と辞書 : 翻訳のためのインターネットリソース Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.