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: 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.
(14477 views)
Book cover: Differential Geometry in PhysicsDifferential Geometry in Physics
by - University of North Carolina at Wilmington
These notes were developed as a supplement to a course on Differential Geometry at the advanced undergraduate level, which the author has taught. This texts has an early introduction to differential forms and their applications to Physics.
(19418 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.
(9474 views)
Book cover: Lectures on Calabi-Yau and Special Lagrangian GeometryLectures on Calabi-Yau and Special Lagrangian Geometry
by - arXiv
An introduction to Calabi-Yau manifolds and special Lagrangian submanifolds from the differential geometric point of view, followed by recent results on singularities of special Lagrangian submanifolds, and their application to the SYZ Conjecture.
(13870 views)