Logo

Notes on Noncommutative Geometry

Small book cover: Notes on Noncommutative Geometry

Notes on Noncommutative Geometry
by

Publisher: arXiv
Number of pages: 309

Description:
The book covers basics of noncommutative geometry and its applications in topology, algebraic geometry and number theory. Our notes are intended for the graduate students and faculty with interests in noncommutative geometry; they can be read by non-experts in the field.

Home page url

Download or read it online for free here:
Download link
(1.8MB, PDF)

Similar books

Book cover: Surveys in Noncommutative GeometrySurveys in Noncommutative Geometry
by - American Mathematical Society
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.
(11559 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.
(10260 views)
Book cover: Geometric Models for Noncommutative AlgebraGeometric Models for Noncommutative Algebra
by - University of California at Berkeley
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.
(11066 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.
(9310 views)