Topology of Gauge Fields and Condensed Matter

1993
ISBN: 978-0-306-44336-7
Verlag: Springer US

Buch, Englisch, 372 Seiten, HC runder Rücken kaschiert, Format (B × H): 183 mm x 260 mm, Gewicht: 2070 g

''Intended mainly for physicists and mathematicians...its high quality will definitely attract a wider audience.'' --- 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.

Fachgebiete

• Naturwissenschaften Biowissenschaften Angewandte Biologie Biomathematik
• Naturwissenschaften Physik Physik Allgemein Theoretische Physik, Mathematische Physik, Computerphysik
• Mathematik | Informatik Mathematik Mathematik Allgemein
• Mathematik | Informatik Mathematik Topologie Mengentheoretische Topologie
• Technische Wissenschaften Technik Allgemein Mathematik für Ingenieure

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.