東華大學圖書館 |

語系: 繁體中文

說明(常見問題)

回圖書館首頁

手機版館藏查詢

登入

回首頁

切換: 標籤 | MARC模式 | ISBD

Homotopy Quantum Field Theory = With...

Turaev, Vladimir,

FindBook

Google Book

Amazon

博客來

Homotopy Quantum Field Theory = With Appendices by Michael Müger and Alexis Virelizier /

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Homotopy Quantum Field Theory/ Vladimir Turaev
其他題名:	With Appendices by Michael Müger and Alexis Virelizier /
作者:	Turaev, Vladimir,
出版者:	Zuerich, Switzerland :European Mathematical Society Publishing House, : 2010,
面頁冊數:	1 online resource (290 pages)
標題:	Algebraic topology - Congresses. -
電子資源:	https://doi.org/10.4171/086
電子資源:	https://www.ems-ph.org/img/books/turaev_mini.jpg
ISBN:	9783037195864

Homotopy Quantum Field Theory = With Appendices by Michael Müger and Alexis Virelizier /
Turaev, Vladimir,

Homotopy Quantum Field TheoryWith Appendices by Michael Müger and Alexis Virelizier /[electronic resource] :Vladimir Turaev - Zuerich, Switzerland :European Mathematical Society Publishing House,2010 - 1 online resource (290 pages) - EMS Tracts in Mathematics (ETM)10.

Restricted to subscribers:https://www.ems-ph.org/ebooks.php

Homotopy Quantum Field Theory (HQFT) is a branch of Topological Quantum Field Theory founded by E. Witten and M. Atiyah. It applies ideas from theoretical physics to study principal bundles over manifolds and, more generally, homotopy classes of maps from manifolds to a fixed target space. This book is the first systematic exposition of Homotopy Quantum Field Theory. It starts with a formal definition of an HQFT and provides examples of HQFTs in all dimensions. The main body of the text is focused on 2-dimensional and 3-dimensional HQFTs. A study of these HQFTs leads to new algebraic objects: crossed Frobenius group-algebras, crossed ribbon group-categories, and Hopf group-coalgebras. These notions and their connections with HQFTs are discussed in detail. The text ends with several appendices including an outline of recent developments and a list of open problems. Three appendices by M. Müger and A. Virelizier summarize their work in this area. The book is addressed to mathematicians, theoretical physicists, and graduate students interested in topological aspects of quantum field theory. The exposition is self-contained and well suited for a one-semester graduate course. Prerequisites include only basics of algebra and topology.

ISBN: 9783037195864

Standard No.: 10.4171/086doiSubjects--Topical Terms:

1575359
Algebraic topology
--Congresses.

Homotopy Quantum Field Theory = With Appendices by Michael Müger and Alexis Virelizier /
LDR:02304nmm a22003015a 4500 001 2233205
003 CH-001817-3
005 20100601234500.0
006 a fot ||| 0|
007 cr nn mmmmamaa
008 210928e20100601sz fot ||| 0|eng d
020 $a 9783037195864
024 7 0 $a 10.4171/086 $2 doi
035 $a 114-100601
040 $a ch0018173
072 7 $a PBPD $2 bicssc
084 $a 57-xx $a 16-xx $a 18-xx $a 81-xx $2 msc
100 1 $a Turaev, Vladimir, $e author. $3 3480980
245 1 0 $a Homotopy Quantum Field Theory $h [electronic resource] : $b With Appendices by Michael Müger and Alexis Virelizier / $c Vladimir Turaev
260 3 $a Zuerich, Switzerland : $b European Mathematical Society Publishing House, $c 2010
300 $a 1 online resource (290 pages)
336 $a text $b txt $2 rdacontent
337 $a computer $b c $2 rdamedia
338 $a online resource $b cr $2 rdacarrier
347 $a text file $b PDF $2 rda
490 0 $a EMS Tracts in Mathematics (ETM) $v 10
506 1 $a Restricted to subscribers: $u https://www.ems-ph.org/ebooks.php
520 $a Homotopy Quantum Field Theory (HQFT) is a branch of Topological Quantum Field Theory founded by E. Witten and M. Atiyah. It applies ideas from theoretical physics to study principal bundles over manifolds and, more generally, homotopy classes of maps from manifolds to a fixed target space. This book is the first systematic exposition of Homotopy Quantum Field Theory. It starts with a formal definition of an HQFT and provides examples of HQFTs in all dimensions. The main body of the text is focused on 2-dimensional and 3-dimensional HQFTs. A study of these HQFTs leads to new algebraic objects: crossed Frobenius group-algebras, crossed ribbon group-categories, and Hopf group-coalgebras. These notions and their connections with HQFTs are discussed in detail. The text ends with several appendices including an outline of recent developments and a list of open problems. Three appendices by M. Müger and A. Virelizier summarize their work in this area. The book is addressed to mathematicians, theoretical physicists, and graduate students interested in topological aspects of quantum field theory. The exposition is self-contained and well suited for a one-semester graduate course. Prerequisites include only basics of algebra and topology.
650 0 7 $a Algebraic topology $v Congresses. $3 1575359
650 0 7 $a Manifolds and cell complexes $2 msc $3 3480829
650 0 7 $a Associative rings and algebras $2 msc $3 3480812
650 0 7 $a Category theory; homological algebra $2 msc $3 3480981
650 0 7 $a Quantum theory $3 704055
856 4 0 $u https://doi.org/10.4171/086
856 4 2 $3 cover image $u https://www.ems-ph.org/img/books/turaev_mini.jpg