Geometry, Topology and Physics by Maximilian Kreuzer - Free PDF
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About this book :-
This text is a set of lecture notes given at the Technical University of Vienna in 2009–2010. The material introduces foundational concepts in geometry and topology, emphasizing their applications in theoretical physics. Topics covered include topological spaces, manifolds, surfaces, homology, intersection numbers, and the mapping class group. The course also delves into differentiable manifolds, Riemannian geometry, vector bundles, Lie algebras, and complex manifolds, providing a comprehensive overview of the mathematical structures pertinent to modern physics.
Book Detail :-
This book has following details information.
Title:
Geometry, Topology and Physics by Maximilian Kreuzer - Free PDF
Publisher:
Maximilian Kreuzer
Year:
2009
Pages:
69
Type:
PDF
Language:
English
ISBN-10 #:
3319599380
ISBN-13 #:
978-3319599380
License:
N\A
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About Author :-
The author NA
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Book Contents :-
This book has following table of contents.
1. Topology
1.1 Definitions
1.2 Homotopy
1.3 Manifolds
1.4 Surfaces
1.5 Homology
1.6 Intersection numbers and the mapping class group
2. Differentiable manifolds
2.1 Tangent space and tensors
2.2 Lie derivatives
2.3 Differential forms
3. Riemannian geometry
3.1 Covariant derivatives and connections
3.2 Curvature and torsion
3.3 The Killing equation and the conformal group
3.4 Hodge duality and inner products
Part-II
1. Vector bundles
1.1 Vielbein and Lorentz connection
1.2 Fiber bundles
1.3 Lie groups and Lie algebras
1.4 Connections on fiber bundles
2. Lie algebras and representations
3. Complex manifolds
3.1 Vector bundles on complex manifolds
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