An Introduction to Differential Topology, de Rham Theory and Morse Theory
An Introduction to Differential Topology, de Rham Theory and Morse Theory
An Introduction to Differential Topology, de Rham Theory and Morse Theory
This note covers the following topics: Basics of Differentiable
Manifolds, Local structure of smooth maps, Transversality Theory,
IDifferential Forms and de Rham Theory, TIensors and some Riemannian
Geometry.
This
note explains the following topics: preliminaries, Different homology theories and their
interaction, Classifying spaces, An introduction to symplectic topology.
This note covers the following topics: Basics of Differentiable
Manifolds, Local structure of smooth maps, Transversality Theory,
IDifferential Forms and de Rham Theory, TIensors and some Riemannian
Geometry.
The
first half of the book deals with degree theory, the Pontryagin construction,
intersection theory, and Lefschetz numbers. The second half of the book is
devoted to differential forms and deRham cohomology.