**Contact Topology**

by George Torres, Robert Gompf

**Publisher**: University of Texas at Austin 2017**Number of pages**: 51

**Description**:

This is a course on contact manifolds, which are odd dimensional manifolds with an extra structure called a contact structure. Most of our study will focus on three dimensional manifolds, though many of these notions hold for any odd dimension.

Download or read it online for free here:

**Download link**

(3.5MB, PDF)

## Similar books

**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.

(

**13943**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.

(

**11034**views)

**Differential Topology and Morse Theory**

by

**Dirk Schuetz**-

**University of Sheffield**

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.

(

**10395**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.

(

**11468**views)