Differential Topology and Morse Theory
by Dirk Schuetz
Publisher: University of Sheffield 2009
Number of pages: 96
Description:
These notes describe basic material about smooth manifolds (vector fields, flows, tangent bundle, partitions of unity, Whitney embedding theorem, foliations, etc...), introduction to Morse theory, and various applications.
Download or read it online for free here:
Download link
(600KB, PDF)
Similar books
Introduction to Symplectic and Hamiltonian Geometryby Ana Cannas da Silva
The text covers foundations of symplectic geometry in a modern language. It describes symplectic manifolds and their transformations, and explains connections to topology and other geometries. It also covers hamiltonian fields and hamiltonian actions.
(13636 views)
Contact Geometryby Hansjoerg Geiges - arXiv
This is an introductory text on the more topological aspects of contact geometry. After discussing some of the fundamental results of contact topology, I move on to a detailed exposition of the original proof of the Lutz-Martinet theorem.
(10759 views)
Manifolds of Differentiable Mappingsby Peter W. Michor - Birkhauser
This book is devoted to the theory of manifolds of differentiable mappings and contains result which can be proved without the help of a hard implicit function theorem of nuclear function spaces. All the necessary background is developed in detail.
(9772 views)
Lectures on Symplectic Geometryby Ana Cannas da Silva - Springer
An introduction to symplectic geometry and topology, it provides a useful and effective synopsis of the basics of symplectic geometry and serves as the springboard for a prospective researcher. The text is written in a clear, easy-to-follow style.
(14212 views)