Monastyrsky Topology of Gauge Fields and Condensed Matter

Erscheinungsjahr 2013
ISBN: 978-1-4899-2403-2
Verlag: Springer US
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, 372 Seiten, eBook

''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.

Zielgruppe

Research

Autoren/Hrsg.

Monastyrsky, M.

Inhaltsverzeichnis

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.