**Deformations of Algebras in Noncommutative Geometry**

by Travis Schedler

**Publisher**: arXiv 2015**Number of pages**: 120

**Description**:

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. We then discuss quantization and deformation via Calabi-Yau algebras and potentials.

Download or read it online for free here:

**Download link**

(1.1MB, PDF)

## Similar books

**Very Basic Noncommutative Geometry**

by

**Masoud Khalkhali**-

**University of Western Ontario**

Contents: Introduction; Some examples of geometry-algebra correspondence; Noncommutative quotients; Cyclic cohomology; Chern-Connes character; Banach and C*-algebras; Idempotents and finite projective modules; Equivalence of categories.

(

**3389**views)

**Geometric Models for Noncommutative Algebra**

by

**Ana Cannas da Silva, Alan Weinstein**-

**University of California at Berkeley**

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.

(

**5328**views)

**Surveys in Noncommutative Geometry**

by

**Nigel Higson, John Roe**-

**American Mathematical Society**

These lectures are intended to introduce key topics in noncommutative geometry to mathematicians unfamiliar with the subject. Topics: applications of noncommutative geometry to problems in ordinary geometry and topology, residue index theorem, etc.

(

**5280**views)

**Notes on Noncommutative Geometry**

by

**Igor Nikolaev**-

**arXiv**

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

(

**2479**views)