Author | Monastyrsky, Michael. author |
---|---|

Title | Topology of Gauge Fields and Condensed Matter [electronic resource] / by Michael Monastyrsky |

Imprint | Boston, MA : Springer US : Imprint: Springer, 1993 |

Connect to | http://dx.doi.org/10.1007/978-1-4899-2403-2 |

Descript | IV, 372 p. online resource |

SUMMARY

''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

CONTENT

1. Preliminaries in Mathematical Setting. Basics -- 2. Elements of Topology. How Two Given Manifolds Can be Differentiated -- 3. Physical Principles and Structures -- 4. Topology of Gauge Fields -- 5. Topology of Condensed Matter -- 6. Conclusion -- References

Mathematics
Topology
Physics
Condensed matter
Applied mathematics
Engineering mathematics
Mathematics
Topology
Condensed Matter Physics
Appl.Mathematics/Computational Methods of Engineering
Theoretical Mathematical and Computational Physics
Mathematics general