<図書>
Braid and knot theory in dimension four
| 責任表示 | Seiichi Kamada |
|---|---|
| シリーズ | Mathematical surveys and monographs ; v. 95 |
| データ種別 | 図書 |
| 出版情報 | Providence, R.I. : American Mathematical Society , c2002 |
| 本文言語 | 英語 |
| 大きさ | xiii, 313 p. : ill. ; 26 cm |
| 概要 | This book introduces the fundamental concepts of classical braid and knot theory, and then goes on to discuss technical points. Braid theory and knot theory are related via Alexander's theorem and Mar...ov's. Braid theory is generalized to dimension four, and the theory of surface braids is developed and applied to surface links. Surface links are also studied using the motion picture method, and techniques important to this method are outlined. These techniques are extended to represent homotopy classes. A table of knotted surfaces is included with the computation of Alexander polynomials. A complete proof of the generalized Markov theorem is provided. Kamada is a mathematician who, along with Viro, proved the generalized Alexander theorem. Annotation copyrighted by Book News, Inc., Portland, OR.続きを見る |
| 電子版へのリンク | https://hdl.handle.net/2324/6947176 |
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1F 開架 | 415.7/Ka 31 | 2002 |
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003212003000960 |
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理系図3F 数理独自 | KAMA/5/1 | 2002 |
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023212002002435 |
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書誌詳細
| 一般注記 | Includes bibliographical references (p. 277-307) and index |
|---|---|
| 著者標目 | *鎌田 聖一 <カマダ セイイチ> |
| 件 名 | LCSH:Braid theory LCSH:Knot theory |
| 分 類 | LCC:QA612.23.K36 DC21:514/.224 |
| 書誌ID | 1000909530 |
| ISBN | 0821829696 |
| NCID | BA57177284 |
| 巻冊次 | ISBN:0821829696 |
| 登録日 | 2009.09.16 |
| 更新日 | 2017.02.18 |
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