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
![Book cover: Notes on Noncommutative Geometry](images/10484.jpg)
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.
(6537 views)
![Book cover: An informal introduction to the ideas and concepts of noncommutative geometry](images/4550.jpg)
by Thierry Masson - 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.
(9959 views)
![Book cover: Noncommutative Geometry](images/4313.jpg)
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.
(13961 views)
![Book cover: Deformations of Algebras in Noncommutative Geometry](images/10502.jpg)
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.
(6590 views)