Integrable systems : twistors, loop groups, and Riemann surfaces

＜図書＞
Integrable systems : twistors, loop groups, and Riemann surfaces

責任表示	N.J. Hitchin, G.B. Segal and R.S. Ward
シリーズ	Oxford graduate texts in mathematics ; 4
データ種別	図書
出版情報	Oxford : Clarendon Press , 1999
本文言語	英語
大きさ	viii, 136 p. : ill. ; 24 cm
概要	This textbook for graduate students introduces integrable systems through the study of Riemann surfaces, loop groups, and twistors. The introduction by Nigel Hitchin addresses the meaning of integrab...lity, discussing in particular how to recognize an integrable system. He then develops connections between integrable systems and algebraic geometry and introduces Riemann surfaces, sheaves, and line bundles. In the next part, Graeme Segal takes the Korteweg-de Vries and nonlinear Schrodinger equations as central examples and discusses the mathematical structures underlying the inverse scattering transform. He also explains loop groups, the Grassmannian, and algebraic curves. In the final part of the book, Richard Ward explores the connection between integrability and self-dual Yang-Mills equations and then describes the correspondence between solutions to integrable equations and holomorphic vector bundles over twistor space. 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1F 開架	414.7/H 77/54990254	1999		054211999002542		予約・取寄			予約・取寄
		理系図3F 数理独自	HITC/10/2	c1999		023211999002428		予約・取寄			予約・取寄

一般注記	Includes index
著者標目	*Hitchin, Nigel, 1946- Segal, Graeme Ward, Richard Samuel, 1951-
件　名	LCSH:Integral geometry
分　類	DC21:516.362
書誌ID	1001395006
ISBN	0198504217
NCID	BA40880209
巻冊次	ISBN:0198504217
NBN	B98V1786
登録日	2009.11.02
更新日	2009.11.02