Mathematics Books Topology BooksDifferential Topology Books

Differential Topology of Fiber Bundles

Differential Topology of Fiber Bundles

Differential Topology of Fiber Bundles

This note explains the following topics: The concept of a fiber bundle, Morphisms of Bundles, Vector Bundles, Principal Bundles, Bundles and Cocycles, Cohomology of Lie Algebras, Smooth G-valued Functions, Connections on Principal Bundles, Curvature and Perspectives.

Author(s):

s146 Pages
Similar Books
Differential   Topology of Fiber Bundles

Differential Topology of Fiber Bundles

This note explains the following topics: The concept of a fiber bundle, Morphisms of Bundles, Vector Bundles, Principal Bundles, Bundles and Cocycles, Cohomology of Lie Algebras, Smooth G-valued Functions, Connections on Principal Bundles, Curvature and Perspectives.

s146 Pages
Differential Topology by Bjorn Ian Dundas

Differential Topology by Bjorn Ian Dundas

This note covers the following topics: Smooth manifolds, The tangent space, Regular values, Vector bundles, Constructions on vector bundles and Integrability.

s210 Pages
Differential topology Lecture     notes (PDF 20p)

Differential topology Lecture notes (PDF 20p)

This note covers the following topics: Smooth manifolds and smooth maps, Tangent spaces and differentials , Regular and singular values , Manifolds with boundary, Immersions and embeddings , Degree mod 2 , Orientation of manifolds and Applications of degree.

s20 Pages
Combinatorial Differential     Topology and Geometry (PDF 30p)

Combinatorial Differential Topology and Geometry (PDF 30p)

This note explains how two standard techniques from the study of smooth manifolds, Morse theory and Bochnerís method, can be adapted to aid in the investigation of combinatorial spaces.

s30 Pages

Advertisement