**An Introduction to Noncommutative Spaces and their Geometry**

by Giovanni Landi

**Publisher**: arXiv 1997**ISBN/ASIN**: 3540635092**Number of pages**: 186

**Description**:

These lectures notes are an introduction for physicists to several ideas and applications of noncommutative geometry. The necessary mathematical tools are presented in a way which we feel should be accessible to physicists. We illustrate applications to Yang-Mills, fermionic and gravity models, notably we describe the spectral action recently introduced by Chamseddine and Connes. We also present an introduction to recent work on noncommutative lattices.

Download or read it online for free here:

**Download link**

(1.3MB, PDF)

## Similar books

**Geometry, Topology and Physics**

by

**Maximilian Kreuzer**-

**Technische Universitat Wien**

From the table of contents: Topology (Homotopy, Manifolds, Surfaces, Homology, Intersection numbers and the mapping class group); Differentiable manifolds; Riemannian geometry; Vector bundles; Lie algebras and representations; Complex manifolds.

(

**11870**views)

**First Steps Towards a Symplectic Dynamics**

by

**Barney Bramham, Helmut Hofer**-

**arXiv**

Both dynamical systems and symplectic geometry have rich theories and the time seems ripe to develop the common core with integrated ideas from both fields. We discuss problems which show how dynamical systems and symplectic ideas come together.

(

**6672**views)

**Lectures on the Geometry of Quantization**

by

**Sean Bates, Alan Weinstein**-

**University of California at Berkeley**

An introduction to the ideas of microlocal analysis and the related symplectic geometry, with an emphasis on the role which these ideas play in formalizing the transition between the mathematics of classical dynamics and that of quantum mechanics.

(

**7894**views)

**Geometry and Group Theory**

by

**Christopher Pope**-

**Texas A&M University**

Lecture notes on Geometry and Group Theory. In this course, we develop the basic notions of Manifolds and Geometry, with applications in physics, and also we develop the basic notions of the theory of Lie Groups, and their applications in physics.

(

**13040**views)