Modern Differential Geometry in Gauge Theories Maxwell Fields, Volume I /

• Main Author: Mallios, Anastasios (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Boston, MA : Birkhäuser Boston, 2006.
• Subjects: Mathematics.; Algebra.; Field theory (Physics).; Global analysis (Mathematics).; Manifolds (Mathematics).; Differential geometry.; Physics.; Optics.; Electrodynamics.; Elementary particles (Physics).; Quantum field theory.; Differential Geometry.; Mathematical Methods in Physics.; Field Theory and Polynomials.; Elementary Particles, Quantum Field Theory.; Optics and Electrodynamics.; Global Analysis and Analysis on Manifolds.

Differential geometry, in the classical sense, is developed through the theory of smooth manifolds. Modern differential geometry from the author’s perspective is used in this work to describe physical theories of a geometric character without using any notion of calculus (smoothness). Instead, an ax...

Table of Contents:

• Maxwell Fields: General Theory
• The Rudiments of Abstract Differential Geometry
• Elementary Particles: Sheaf-Theoretic Classification, by Spin-Structure, According to Selesnick’s Correspondence Principle
• Electromagnetism
• Cohomological Classification of Maxwell and Hermitian Maxwell Fields
• Geometric Prequantization.