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Topology of Gauge Fields and Condensed Matter - M. Monastyrskii

Topology of Gauge Fields and Condensed Matter

By: M. Monastyrskii, Oleg Efimov (Translator)

Hardcover Published: 31st May 1993
ISBN: 9780306443367
Number Of Pages: 372

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''Intended mainly for physicists and mathematicians...its high quality will definitely attract a wider audience.'' ---Computational Mathematics and Mathematical Physics This work acquaints the physicist with the mathematical principles of algebraic topology, group theory, and differential geometry, as applicable to research in field theory and the theory of condensed matter. Emphasis is placed on the topological structure of monopole and instanton solution to the Yang-Mills equations, the description of phases in superfluid 3He, and the topology of singular solutions in 3He and liquid crystals.

How to Use This Bookp. 10
Preliminaries in Mathematical Setting Basicsp. 11
Manifoldsp. 11
Lie Groupsp. 27
Action of Groupsp. 38
Fiber Bundlesp. 47
Connection in a Fiber Bundlep. 56
Elements of Topology. How Two Given Manifolds Can Be Differentiatedp. 78
Homotopy Theoryp. 78
Homology Theoryp. 98
Cohomology Theoryp. 111
Relation between Homotopy and Homology Groupsp. 122
Degree of a Map and Indices of Vector Fieldsp. 125
Hopf Invariantp. 135
Characteristic Classesp. 150
Physical Principles and Structuresp. 176
Gauge Invariancep. 176
Systems with Spontaneous Symmetry Breakingp. 183
Topology of Gauge Fieldsp. 195
Monopoles in Gauge Field Theoriesp. 195
Instantonsp. 214
Topology of Condensed Matterp. 250
Liquid Crystalsp. 250
Topology of Superfluid [superscript 3]Hep. 292
Conclusionp. 344
Topology of Gauge Fieldsp. 344
Topology of Condensed Matterp. 351
Historical Remarksp. 355
Referencesp. 358
Indexp. 368
Table of Contents provided by Blackwell. All Rights Reserved.

ISBN: 9780306443367
ISBN-10: 0306443368
Audience: General
Format: Hardcover
Language: English
Number Of Pages: 372
Published: 31st May 1993
Publisher: Springer Science+Business Media
Country of Publication: US
Dimensions (cm): 25.4 x 17.78  x 2.24
Weight (kg): 0.88

Earn 542 Qantas Points
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