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<図書>
Gauge fields, knots and gravity

責任表示 John Baez, Javier P. Muniain
シリーズ Series on knots and everything ; vol. 4
データ種別 図書
出版者 Singapore ; New Jersey : World Scientific
出版年 c1994
本文言語 英語
大きさ xii, 465 p. ; ill : 23 cm
概要 This is an introduction to the basic tools of mathematics needed to understand the relation between knot theory and quantum gravity. The book begins with a rapid course on manifolds and differential ...orms, emphasizing how these provide a proper language for formulating Maxwell's equations on arbitrary spacetimes. The authors then introduce vector bundles, connections and curvature in order to generalize Maxwell theory to the Yang-Mills equations. The relation of gauge theory to the newly discovered knot invariants such as the Jones polynomial is sketched. Riemannian geometry is then introduced in order to describe Einstein's equations of general relativity and show how an attempt to quantize gravity leads to interesting applications of knot theory.
This is an introduction to the basic tools of mathematics needed to understand the relation between knot theory and quantum gravity. The book begins with a rapid course on manifolds and differential forms, emphasizing how these provide a proper language for formulating Maxwell's equations on arbitrary spacetimes. The authors then introduce vector bundles, connections and curvature in order to generalize Maxwell theory to the Yang-Mills equations. The relation of gauge theory to the newly discovered knot invariants such as the Jones polynomial is sketched. Riemannian geometry is then introduced in order to describe Einstein's equations of general relativity and show how an attempt to quantize gravity leads to interesting applications of knot theory.
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所蔵情報

: pbk 理系図1F 開架 031212015000831 421.3/B 14 2013

理系図3F 数理独自 068222194007257 BAEZ/10/1 1994
: pbk 理系図1F 開架 031212015000843 421.3/B 14 2013

書誌詳細

一般注記 Includes index
著者標目 *Baez, John C., 1961-
Muniain, Javier P.
件 名 LCSH:Gauge fields (Physics)
LCSH:Quantum gravity
LCSH:Knot theory
LCSH:General relativity (Physics)
LCSH:Electromagnetism
分 類 LCC:QC793.3.F5
DC20:530.1/4
書誌ID 1000035766
ISBN 9810217293
NCID BA23771444
巻冊次 ISBN:9810217293
: pbk ; ISBN:9789810220341 ; XISBN:9810220340
登録日 2009.09.10
更新日 2015.11.10

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