**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

**Lectures on Symplectic Geometry**

by

**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.

(

**10294**views)

**Ricci Flow and the Poincare Conjecture**

by

**John Morgan, Gang Tian**-

**American Mathematical Society**

This book provides full details of a complete proof of the Poincare Conjecture following Grigory Perelman's preprints. The book is suitable for all mathematicians from advanced graduate students to specialists in geometry and topology.

(

**7495**views)

**Introduction to Differential Topology, de Rham Theory and Morse Theory**

by

**Michael Muger**-

**Radboud University**

Contents: Why Differential Topology? Basics of Differentiable Manifolds; Local structure of smooth maps; Transversality Theory; More General Theory; Differential Forms and de Rham Theory; Tensors and some Riemannian Geometry; Morse Theory; etc.

(

**6780**views)

**Contact Geometry**

by

**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.

(

**6744**views)