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<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

所蔵情報



理系図1F 開架 415.7/Ka 31 2002
003212003000960


理系図3F 数理独自 KAMA/5/1 2002
023212002002435

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