Logo

An Introduction to Noncommutative Spaces and their Geometry

Large book cover: An Introduction to Noncommutative Spaces and their Geometry

An Introduction to Noncommutative Spaces and their Geometry
by

Publisher: arXiv
ISBN/ASIN: 3540635092
Number of pages: 186

Description:
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, fermionic and gravity models, notably we describe the spectral action recently introduced by Chamseddine and Connes. We also present an introduction to recent work on noncommutative lattices.

Home page url

Download or read it online for free here:
Download link
(1.3MB, PDF)

Similar books

Book cover: Lectures on the Geometry of QuantizationLectures on the Geometry of Quantization
by - University of California at Berkeley
An introduction to the ideas of microlocal analysis and the related symplectic geometry, with an emphasis on the role which these ideas play in formalizing the transition between the mathematics of classical dynamics and that of quantum mechanics.
(6972 views)
Book cover: Introduction to Braided Geometry and q-Minkowski SpaceIntroduction to Braided Geometry and q-Minkowski Space
by - arXiv
Systematic introduction to the geometry of linear braided spaces. These are versions of Rn in which the coordinates xi have braid-statistics described by an R-matrix. From this starting point we survey the author's braided-approach to q-deformation.
(4030 views)
Book cover: Geometry, Topology and PhysicsGeometry, Topology and Physics
by - Technische Universitat Wien
From the table of contents: Topology (Homotopy, Manifolds, Surfaces, Homology, Intersection numbers and the mapping class group); Differentiable manifolds; Riemannian geometry; Vector bundles; Lie algebras and representations; Complex manifolds.
(10225 views)
Book cover: Geometry of Quantum MechanicsGeometry of Quantum Mechanics
by - Stockholms universitet, Fysikum
These are the lecture notes from a graduate course in the geometry of quantum mechanics. The idea was to introduce the mathematics in its own right, but not to introduce anything that is not directly relevant to the subject.
(8135 views)