<図書>
Braids and coverings : selected topics
責任表示 | Vagn Lundsgaard Hansen |
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シリーズ | London Mathematical Society student texts ; 18 |
データ種別 | 図書 |
出版情報 | Cambridge : Cambridge University Press , 1989 |
本文言語 | 英語 |
大きさ | x, 191 p. : ill. ; 24 cm |
概要 | This book is based on a graduate course taught by the author at the University of Maryland, USA. The lecture notes have been revised and augmented by examples. The work falls into two strands. The fir...t two chapters develop the elementary theory of Artin Braid groups both geometrically and via homotopy theory, and discuss the link between knot theory and the combinatorics of braid groups through Markovs Theorem. The final two chapters give a detailed investigation of polynomial covering maps, which may be viewed as a homomorphism of the fundamental group of the base space into the Artin braid group on n strings. This book will be of interest to both topologists and algebraists working in braid theory. This book is based on a graduate course taught by the author at the University of Maryland, USA. The lecture notes have been revised and augmented by examples. The work falls into two strands. The first two chapters develop the elementary theory of Artin Braid groups both geometrically and via homotopy theory, and discuss the link between knot theory and the combinatorics of braid groups through Markovs Theorem. The final two chapters give a detailed investigation of polynomial covering maps, which may be viewed as a homomorphism of the fundamental group of the base space into the Artin braid group on n strings. This book will be of interest to both topologists and algebraists working in braid theory.続きを見る |
電子版へのリンク | https://hdl.handle.net/2324/7015625 |
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 | HANS/40/1 | 1989 |
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068222190003052 |
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理系図 自動書庫 | 414.8/H 291/1A | 1989 |
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068582194005372 |
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書誌詳細
一般注記 | Includes bibliographies and index |
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著者標目 | *Hansen, Vagn Lundsgaard |
件 名 | LCSH:Braid theory LCSH:Covering spaces (Topology) LCSH:Algebraic topology |
分 類 | DC19:510 NDC8:410.8 |
書誌ID | 1001385083 |
ISBN | 0521384796 |
NCID | BA07965177 |
巻冊次 | : hard ; ISBN:0521384796 : pbk ; ISBN:0521387574 |
登録日 | 2009.11.02 |
更新日 | 2017.02.18 |