Ebook: Topology of Gauge Fields and Condensed Matter

''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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Content:
Front Matter....Pages 1-10
Preliminaries in Mathematical Setting. Basics....Pages 11-77
Elements of topology. How two given manifolds can be differentiated....Pages 78-175
Physical Principles and Structures....Pages 176-194
Topology of Gauge Fields....Pages 195-249
Topology of Condensed Matter....Pages 250-343
Conclusion....Pages 344-357
Back Matter....Pages 358-372

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Content:
Front Matter....Pages 1-10
Preliminaries in Mathematical Setting. Basics....Pages 11-77
Elements of topology. How two given manifolds can be differentiated....Pages 78-175
Physical Principles and Structures....Pages 176-194
Topology of Gauge Fields....Pages 195-249
Topology of Condensed Matter....Pages 250-343
Conclusion....Pages 344-357
Back Matter....Pages 358-372
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