Topology of Gauge Fields and Condensed Matter

By: Mikhail Il'ich Monastyrskii, M. Monastyrsky

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Hardcover | 31 May 1993

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380 Pages

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26.04 x 17.78 x 2.54

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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.

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You Can Find This Book In

Non-Fiction Mathematics Topology Science Physics Mathematical Physics Materials & States of Matter Condensed Matter Physics including Liquid State & Solid State Physics Classical Mathematics Wave Mechanics including Vibration & Acoustics Engineering & Technology Technology in General

Maths for Engineers Science in General Maths for Scientists Applied Mathematics Engineering in General

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Paperback

Published: 30th May 2013

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How to Use This Book	p. 10
Preliminaries in Mathematical Setting Basics	p. 11
Manifolds	p. 11
Lie Groups	p. 27
Action of Groups	p. 38
Fiber Bundles	p. 47
Connection in a Fiber Bundle	p. 56
Elements of Topology. How Two Given Manifolds Can Be Differentiated	p. 78
Homotopy Theory	p. 78
Homology Theory	p. 98
Cohomology Theory	p. 111
Relation between Homotopy and Homology Groups	p. 122
Degree of a Map and Indices of Vector Fields	p. 125
Hopf Invariant	p. 135
Characteristic Classes	p. 150
Physical Principles and Structures	p. 176
Gauge Invariance	p. 176
Systems with Spontaneous Symmetry Breaking	p. 183
Topology of Gauge Fields	p. 195
Monopoles in Gauge Field Theories	p. 195
Instantons	p. 214
Topology of Condensed Matter	p. 250
Liquid Crystals	p. 250
Topology of Superfluid [superscript 3]He	p. 292
Conclusion	p. 344
Topology of Gauge Fields	p. 344
Topology of Condensed Matter	p. 351
Historical Remarks	p. 355
References	p. 358
Index	p. 368
Table of Contents provided by Blackwell. All Rights Reserved.

Topology of Gauge Fields and Condensed Matter

At a Glance

Hardcover

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How to return your order

Defective items

You Can Find This Book In

Other Editions and Formats

Paperback

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