An Introduction to Noncommutative Geometry

Details An Introduction to Noncommutative Geometry An Introduction to Noncommutative Geometry

1997-09-30

arxiv.org/abs/physics/9709045v2

Physics

Mathematical Physics

18 pages, LaTeX, updated bibliography (only). The full document is now published in the EMS Series of Lectures in Mathematics

Scientific paper

This is the introduction and bibliography for lecture notes of a course given at the Summer School on Noncommutative Geometry and Applications, sponsored by the European Mathematical Society, at Monsaraz and Lisboa, Portugal, September 1-10, 1997. In the published version, an epilogue of recent developments and many new references from 1998-2006 have been added. 1. Commutative geometry from the noncommutative point of view. 2. Spectral triples on the Riemann sphere. 3. Real spectral triples, the axiomatic foundation. 4. Geometries on the noncommutative torus. 5. The noncommutative integral. 6. Quantization and the tangent groupoid. 7. Equivalence of geometries. 8. Action functionals. 9. Epilogue: new directions.

Affiliated with

Also associated with

No associations

Rating

An Introduction to Noncommutative Geometry does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with An Introduction to Noncommutative Geometry, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and An Introduction to Noncommutative Geometry will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-92606