**Geometric Models for Noncommutative Algebra**

by Ana Cannas da Silva, Alan Weinstein

**Publisher**: University of California at Berkeley 1998**Number of pages**: 194

**Description**:

Noncommutative geometry is the study of noncommutative algebras as if they were algebras of functions on spaces, like the commutative algebras associated to affine algebraic varieties, differentiable manifolds, topological spaces, and measure spaces. In this book, we discuss several types of geometric objects which are closely related to noncommutative algebras.

Download or read it online for free here:

**Download link**

(3.3MB, PDF)

## Similar books

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

by

**Giovanni Landi**-

**arXiv**

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.

(

**8828**views)

**Homological Methods in Noncommutative Geometry**

by

**D. Kaledin**

The first seven lectures deal with the homological part of the story (cyclic homology, its various definitions, various additional structures it possesses). Then there are four lectures centered around Hochschild cohomology and the formality theorem.

(

**5707**views)

**Deformations of Algebras in Noncommutative Geometry**

by

**Travis Schedler**-

**arXiv**

In these notes, we give an example-motivated review of the deformation theory of associative algebras in terms of the Hochschild cochain complex as well as quantization of Poisson structures, and Kontsevich's formality theorem in the smooth setting.

(

**3108**views)

**Noncommutative Geometry**

by

**Alain Connes**-

**Academic Press**

The definitive treatment of the revolutionary approach to measure theory, geometry, and mathematical physics. Ideal for anyone who wants to know what noncommutative geometry is, what it can do, or how it can be used in various areas of mathematics.

(

**9378**views)