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<図書>
Knotted surfaces and their diagrams

責任表示 J. Scott Carter, Masahico Saito
シリーズ Mathematical surveys and monographs ; v. 55
データ種別 図書
出版情報 Providence, R.I. : American Mathematical Society , c1998
本文言語 英語
大きさ xi, 258 p. : ill. ; 27cm
概要 Develops the diagrammatic theory of knotted surfaces in 4-dimensional space in analogy with the classical theory of knotted and linked circles in 3-space. Early chapters develop the notion of a knotte... surface diagram, demonstrate the theory of Reidemeister moves, review the theory of surface braids. Later chapters contrast the knotted surface case with classical theory, offer methods for computing the fundamental group, describe the Seifert algorithm for knotted surfaces, and review the algebraic and categorical aspects of knotted surfaces. Presents solutions to equations based on diagrammatic methods. Some exercises are research problems, and readers are encouraged to find solutions. Includes many bandw diagrams. Annotation copyrighted by Book News, Inc., Portland, OR続きを見る
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所蔵情報



理系図3F 数理独自 CART/40/3 1998
023211997012555

書誌詳細

一般注記 Includes bibliographical references (p. 243-255) and index
著者標目 *Carter, J. Scott
Saito, Masahico, 1959-
件 名 LCSH:Knot theory
LCSH:Surfaces
分 類 LCC:QA612.2
DC21:514/.224
NDC8:415.7
書誌ID 1001403432
ISBN 0821805932
NCID BA33955148
巻冊次 ISBN:0821805932
登録日 2009.11.02
更新日 2017.02.18