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Topology of Gauge Fields and Condensed Matter

  • Book
  • © 1993

Overview

Authors:
  1. Michael Monastyrsky

    1. Institute of Theoretical and Experimental Physics, Moscow, Russia

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Table of contents (6 chapters)

  1. Front Matter

    Pages 1-10
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  2. Preliminaries in Mathematical Setting. Basics

    • Michael Monastyrsky
    Pages 11-77

  3. Elements of topology. How two given manifolds can be differentiated

    • Michael Monastyrsky
    Pages 78-175

  4. Physical Principles and Structures

    • Michael Monastyrsky
    Pages 176-194

  5. Topology of Gauge Fields

    • Michael Monastyrsky
    Pages 195-249

  6. Topology of Condensed Matter

    • Michael Monastyrsky
    Pages 250-343

  7. Conclusion

    • Michael Monastyrsky
    Pages 344-357

  8. Back Matter

    Pages 358-372
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About this book

''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.

Authors and Affiliations

  • Institute of Theoretical and Experimental Physics, Moscow, Russia

    Michael Monastyrsky

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