**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

**Symplectic Geometry**

by

**Ana Cannas da Silva**-

**Princeton University**

An overview of symplectic geometry – the geometry of symplectic manifolds. From a language of classical mechanics, symplectic geometry became a central branch of differential geometry and topology. This survey gives a partial flavor on this field.

(

**11567**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.

(

**10862**views)

**Differentiable Manifolds**

by

**Nigel Hitchin**

The historical driving force of the theory of manifolds was General Relativity, where the manifold is four-dimensional spacetime, wormholes and all. This text is occupied with the theory of differential forms and the exterior derivative.

(

**17509**views)

**Introduction to Symplectic and Hamiltonian Geometry**

by

**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.

(

**13276**views)