Convexity properties of Hamiltonian group actions

＜図書＞
Convexity properties of Hamiltonian group actions

責任表示	Victor Guillemin, Reyer Sjamaar
シリーズ	CRM monograph series ; v. 26
データ種別	図書
出版情報	Providence, R.I. : Americam Mathematical Society , c2005
本文言語	英語
大きさ	iv, 82 p. ; 26 cm
概要	Focusing on convexity properties of moment mappings in symplectic geometry, the fundamental result of this work is the Kirwan complexity theorem, which describes the image of a moment map in terms of ...inear inequalities. The authors describe the convexity theorem for Hamiltonian G spaces in terms of how abelian and non- abelian convexity is related, the variants and generalizations of the convexity theorem, loop groups and Kostant's theorem for them, and the sympectomorphism group of the annulus. They then provide a constructive proof of the non-abelian convexity theorem, including the equivariant Darboux theorem, cross-section theorem and Frobenius reciprocity theorem and introduce some elementary examples of the convexity theorem. They describe Kahler potentials and convexity, including Kahler metrics on coadjoint orbits and other actions and manifolds and close with applications of the convexity theorem, including the Delzant conjecture and Kahlerizability. Annotation ©2006 Book News, Inc., Portland, OR (booknews.com) 続きを見る

状態	巻次	所蔵場所	請求記号	刷年	文庫名称	資料番号	コメント	予約・取寄	複写申込	自動書庫
		理系図3F 数理独自	GUIL/40/11	2005		023212005005664		予約・取寄			予約・取寄

一般注記	Includes bibliographical references
著者標目	Guillemin, V., 1937- Sjamaar, Reyer, 1961-
件　名	LCSH:Hamiltonian systems LCSH:Convex domains LCSH:Matrices LCSH:Convex functions LCSH:Convexity spaces
分　類	LCC:QA614.83 DC22:515/.39
書誌ID	1001242558
ISBN	0821839187
NCID	BA74336114
巻冊次	ISBN:0821839187
登録日	2009.09.18
更新日	2009.11.02