e-books in Noncommutative Geometry category
![Book cover: Deformations of Algebras in Noncommutative Geometry](images/10502.jpg)
by Travis Schedler - arXiv , 2015
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.
(6589 views)
![Book cover: Notes on Noncommutative Geometry](images/10484.jpg)
by Igor Nikolaev - arXiv , 2015
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: Very Basic Noncommutative Geometry](images/8569.jpg)
by Masoud Khalkhali - University of Western Ontario , 2004
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.
(8102 views)
![Book cover: Homological Methods in Noncommutative Geometry](images/6275.jpg)
by D. Kaledin , 2008
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.
(8998 views)
![Book cover: Surveys in Noncommutative Geometry](images/5199.jpg)
by Nigel Higson, John Roe - American Mathematical Society , 2006
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.
(10177 views)
![Book cover: An Introduction to Noncommutative Spaces and their Geometry](images/4734.jpg)
by Giovanni Landi - arXiv , 1997
These lectures notes are an introduction for physicists to several ideas and applications of noncommutative geometry. The necessary mathematical tools are presented in a way which we feel should be accessible to physicists.
(12873 views)
![Book cover: An informal introduction to the ideas and concepts of noncommutative geometry](images/4550.jpg)
by Thierry Masson - arXiv , 2006
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, Quantum Fields and Motives](images/4314.jpg)
by Alain Connes, Matilde Marcolli - American Mathematical Society , 2007
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.
(13203 views)
![Book cover: Noncommutative Geometry](images/4313.jpg)
by Alain Connes - Academic Press , 1994
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: Geometric Models for Noncommutative Algebra](images/blank.gif)
by Ana Cannas da Silva, Alan Weinstein - University of California at Berkeley , 1998
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.
(9771 views)