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Homological Methods in Noncommutative Geometry by D. Kaledin
 
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Ebooks May 27, 2022 3

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Author
D. Kaledin
Publisher
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.
An Introduction to Noncommutative Spaces and their Geometry by Giovanni Landi
 
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Ebooks May 24, 2022 3
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. We illustrate applications to Yang-Mills,
Surveys in Noncommutative Geometry by Nigel Higson, John Roe
 
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Ebooks May 23, 2022 2

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Author
Nigel Higson, John Roe
Publisher
American Mathematical Society 2006
The series of expository lectures 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.
Very Basic Noncommutative Geometry by Masoud Khalkhali
 
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Ebooks May 23, 2022 1

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Author
Masoud Khalkhali
Publisher
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.
An informal introduction to the ideas and concepts of noncommutative geometry by Thierry Masson
 
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Ebooks May 23, 2022 3

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Author
Thierry Masson
Publisher
arXiv 2006
This informal introduction is an extended version of a three hours lecture given at the 6th Peyresq meeting "Integrable systems and quantum field theory". In this text, we make an overview of some of the mathematical results which motivated the development of what is called noncommutative geometry. ...
 
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Ebooks May 13, 2022 3

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Author
Ana Cannas da Silva, Alan Weinstein
Publisher
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,
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