Geometry and Physics

• Main Author: Jost, Jürgen (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2009.
• Subjects: Mathematics.; Geometry.; Differential geometry.; Calculus of variations.; Physics.; Differential Geometry.; Calculus of Variations and Optimal Control; Optimization.; Theoretical, Mathematical and Computational Physics.; Mathematical Methods in Physics.

"Geometry and Physics" addresses mathematicians wanting to understand modern physics, and physicists wanting to learn geometry. It gives an introduction to modern quantum field theory and related areas of theoretical high-energy physics from the perspective of Riemannian geometry, and an i...

Table of Contents:

• 1.Geometry
• 1.1.Riemannian and Lorentzian manifolds
• 1.2.Bundles and connections
• 1.3.Tensors and spinors
• 1.4.Riemann surfaces and moduli spaces
• 1.5.Supermanifolds
• 2.Physics
• 2.1.Classical and quantum physics
• 2.2.Lagrangians.-2.3.Variational aspects
• 2.4.The sigma model
• 2.5.Functional integrals
• 2.6.Conformal field theory
• 2.7.String theory
• Bibliography
• Index.