**Notes on Noncommutative Geometry**

by Igor Nikolaev

**Publisher**: arXiv 2015**Number of pages**: 309

**Description**:

The book covers basics of noncommutative geometry and its applications in topology, algebraic geometry and number theory. Our notes are intended for the graduate students and faculty with interests in noncommutative geometry; they can be read by non-experts in the field.

Download or read it online for free here:

**Download link**

(1.8MB, 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.

(

**8038**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.

(

**2501**views)

**Noncommutative Geometry, Quantum Fields and Motives**

by

**Alain Connes, Matilde Marcolli**-

**American Mathematical Society**

The unifying theme of this book is the interplay among noncommutative geometry, physics, and number theory. The two main objects of investigation are spaces where both the noncommutative and the motivic aspects come to play a role.

(

**7549**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.

(

**5044**views)