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Differential geometry and mathematical physics: Part II: Fibre bundles, topology and gauge fields (Record no. 558132)

000 -LEADER
fixed length control field 02268 a2200253 4500
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20171031143510.0
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 171026b xxu||||| |||| 00| 0 eng d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
ISBN 9789402409581
040 ## - CATALOGING SOURCE
Transcribing agency IITK
041 ## - LANGUAGE CODE
Language code of text/sound track or separate title eng
082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 530.15
Item number R835d
100 ## - MAIN ENTRY--AUTHOR NAME
Personal name Rudolph, Gerd
245 ## - TITLE STATEMENT
Title Differential geometry and mathematical physics: Part II: Fibre bundles, topology and gauge fields
Statement of responsibility, etc Gerd Rudolph and Matthias Schmidt
260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT)
Name of publisher Springer
Year of publication 2017
Place of publication Dordrecht
300 ## - PHYSICAL DESCRIPTION
Number of Pages xv, 830p
440 ## - SERIES STATEMENT/ADDED ENTRY--TITLE
Title Theoretical and mathematical physics
490 ## - SERIES STATEMENT
Series statement / edited by W. Beiglbock
500 ## - GENERAL NOTE
General note Part II: Fibre bundles, topology and gauge fields
505 ## - FORMATTED CONTENTS NOTE
Formatted contents note The book is devoted to the study of the geometrical and topological structure of gauge theories. It consists of the following three building blocks:
- Geometry and topology of fibre bundles,
- Clifford algebras, spin structures and Dirac operators,
- Gauge theory.
Written in the style of a mathematical textbook, it combines a comprehensive presentation of the mathematical foundations with a discussion of a variety of advanced topics in gauge theory.
The first building block includes a number of specific topics, like invariant connections, universal connections, H-structures and the Postnikov approximation of classifying spaces.
Given the great importance of Dirac operators in gauge theory, a complete proof of the Atiyah-Singer Index Theorem is presented. The gauge theory part contains the study of Yang-Mills equations (including the theory of instantons and the classical stability analysis), the discussion of various models with matter fields (including magnetic monopoles, the Seiberg-Witten model and dimensional reduction) and the investigation of the structure of the gauge orbit space. The final chapter is devoted to elements of quantum gauge theory including the discussion of the Gribov problem, anomalies and the implementation of the non-generic gauge orbit strata in the framework of Hamiltonian lattice gauge theory.
The book is addressed both to physicists and mathematicians. It is intended to be accessible to students starting from a graduate level.
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical Term Mathematical -- Physics
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical Term Geometry
700 ## - ADDED ENTRY--PERSONAL NAME
Personal name Schmidt, Matthias
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Koha item type Books
Holdings
Withdrawn status Lost status Damaged status Not for loan Collection code Permanent Location Current Location Date acquired Source of acquisition Cost, normal purchase price Full call number Accession Number Cost, replacement price Koha item type
        General Stacks PK Kelkar Library, IIT Kanpur PK Kelkar Library, IIT Kanpur 2017-10-24 2 9341.78 530.15 R835d A183271 112455.70 Books

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