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: Noncommutative GeometryNoncommutative Geometry
by - 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.
(8532 views)
Book cover: Homological Methods in Noncommutative GeometryHomological Methods in Noncommutative Geometry
by
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.
(4994 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.
(3610 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.
(7469 views)