Mendeley出力
＜図書＞
Invariance theory, the heat equation, and the Atiyah-Singer index theorem
| 責任表示 | Peter B. Gilkey |
|---|---|
| シリーズ | Mathematics lecture series ; 11 |
| データ種別 | 図書 |
| 出版者 | Wilmington, Del. : Publish or Perish |
| 出版年 | c1984 |
| 本文言語 | 英語 |
| 大きさ | viii, 349 p. ; 24 cm |
| 概要 | This book treats the Atiyah-Singer index theorem using the heat equation, which gives a local formula for the index of any elliptic complex. Heat equation methods are also used to discuss Lefschetz f...xed point formulas, the Gauss-Bonnet theorem for a manifold with smooth boundary, and the geometrical theorem for a manifold with smooth boundary. The author uses invariance theory to identify the integrand of the index theorem for classical elliptic complexes with the invariants of the heat equation. 続きを見る |
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 | GILK/10/1 | 1984 |
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068222189001815 |
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【故障中】理系図 自動書庫 | 103/GIL | c1984 |
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068252185006943 |
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書誌詳細
| 一般注記 | Includes bibliography (p. [339]-345) and index |
|---|---|
| 著者標目 | *Gilkey, Peter B. |
| 件 名 | LCSH:Index theorems LCSH:Heat equations NDLSH:不変式 NDLSH:微分作用素 |
| 分 類 | NDC8:411.66 NDC8:415.5 NDC8:415.7 |
| 書誌ID | 1000001240 |
| ISBN | 0914098209 |
| NCID | BA00080615 |
| 巻冊次 | ISBN:0914098209 |
| 登録日 | 1990.03.23 |
| 更新日 | 1996.03.07 |