Logo

Deformations of Algebras in Noncommutative Geometry

Small book cover: Deformations of Algebras in Noncommutative Geometry

Deformations of Algebras in Noncommutative Geometry
by

Publisher: arXiv
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.

Home page url

Download or read it online for free here:
Download link
(1.1MB, PDF)

Similar books

Book cover: An informal introduction to the ideas and concepts of noncommutative geometryAn informal introduction to the ideas and concepts of noncommutative geometry
by - arXiv
This is an extended version of a three hours lecture given at the 6th Peyresq meeting 'Integrable systems and quantum field theory'. We make an overview of some of the mathematical results which motivated the development of noncommutative geometry.
(7303 views)
Book cover: Very Basic Noncommutative GeometryVery Basic Noncommutative Geometry
by - 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.
(5154 views)
Book cover: Geometric Models for Noncommutative AlgebraGeometric Models for Noncommutative Algebra
by - 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.
(7063 views)
Book cover: Noncommutative Geometry, Quantum Fields and MotivesNoncommutative Geometry, Quantum Fields and Motives
by - 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.
(9330 views)