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
An informal introduction to the ideas and concepts of noncommutative geometryby 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.
(7303 views)
Deformations of Algebras in Noncommutative Geometryby 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.
(3882 views)
Noncommutative Geometry, Quantum Fields and Motivesby 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.
(9330 views)
Homological Methods in Noncommutative Geometryby 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.
(6615 views)