Mendeley出力
＜図書＞
Spin geometry
| 責任表示 | H. Blaine Lawson, Jr. and Marie-Louise Michelsohn |
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| シリーズ | Princeton mathematical series ; 38 |
| データ種別 | 図書 |
| 出版情報 | Princeton, N.J. : Princeton University Press , 1989 |
| 本文言語 | 英語 |
| 大きさ | xii, 427 p. : ill. ; 25 cm |
| 概要 | This book offers a systematic and comprehensive presentation of the concepts of a spin manifold, spinor fields, Dirac operators, and A-genera, which, over the last two decades, have come to play a si...nificant role in many areas of modern mathematics. Since the deeper applications of these ideas require various general forms of the Atiyah-Singer Index Theorem, the theorems and their proofs, together with all prerequisite material, are examined here in detail. The exposition is richly embroidered with examples and applications to a wide spectrum of problems in differential geometry, topology, and mathematical physics. The authors consistently use Clifford algebras and their representations in this exposition. Clifford multiplication and Dirac operator identities are even used in place of the standard tensor calculus. This unique approach unifies all the standard elliptic operators in geometry and brings fresh insights into curvature calculations. The fundamental relationships of Clifford modules to such topics as the theory of Lie groups, K-theory, KR-theory, and Bott Periodicity also receive careful consideration. A special feature of this book is the development of the theory of Cl-linear elliptic operators and the associated index theorem, which connects certain subtle spin-corbordism invariants to classical questions in geometry and has led to some of the most profound relations known between the curvature and topology of manifolds. 続きを見る |
| 電子版へのリンク | https://hdl.handle.net/2324/6827300 |
所蔵情報
| 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 |
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理系図3F 数理独自 | LAWS/20/5 | 1989 |
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068222191000831 |
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理系図 自動書庫 | 103/LAW | 1989 |
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068252190011088 |
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書誌詳細
| 一般注記 | Bibliography: p. 402-416 Includes indexes |
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| 著者標目 | *Lawson, H. Blaine, 1942- Michelsohn, Marie-Louise, 1941- |
| 件 名 | LCSH:Nuclear spin -- Mathematics
全ての件名で検索
LCSH:Geometry LCSH:Topology LCSH:Clifford algebras LCSH:Mathematical physics |
| 分 類 | LCC:QC793.3.S6 DC20:539.7/25 NDC8:421.5 |
| 書誌ID | 1001139195 |
| ISBN | 0691085420 |
| NCID | BA11089553 |
| 巻冊次 | ISBN:0691085420 ; PRICE:$55.00 |
| 登録日 | 2009.09.17 |
| 更新日 | 2009.09.17 |