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 complex geometry, Calabi-Yau manifolds and toric geometryLectures on complex geometry, Calabi-Yau manifolds and toric geometry
by - arXiv
These are introductory lecture notes on complex geometry, Calabi-Yau manifolds and toric geometry. We first define basic concepts of complex and Kahler geometry. We then proceed with an analysis of various definitions of Calabi-Yau manifolds.
(9272 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.
(18965 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.
(9232 views)
Book cover: First Steps Towards a Symplectic DynamicsFirst Steps Towards a Symplectic Dynamics
by - arXiv
Both dynamical systems and symplectic geometry have rich theories and the time seems ripe to develop the common core with integrated ideas from both fields. We discuss problems which show how dynamical systems and symplectic ideas come together.
(11678 views)