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: The Geometrization of PhysicsThe Geometrization of Physics
by - University of California at Irvine
The major goal of these notes is to develop an observation that not only can gauge fields of the Yang-Mills type be unified with the Einstein model of gravitation, but also that when this unification is made they are described by pure geometry.
(10374 views)
Book cover: Geometry and Topology in Electronic Structure TheoryGeometry and Topology in Electronic Structure Theory
by - University of Trieste
From the table of contents: Introduction; Early discoveries; Berry-ology (geometry in nonrelativistic quantum mechanics); Manifestations of the Berry phase; Modern theory of polarization; Quantum metric and the theory of the insulating state.
(8294 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.
(15655 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.
(8824 views)