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19 pages, revised August 29, 2006

Abstract:

This paper presents an "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." http://arxiv.org/abs/physics/9709045 Contents: "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. Comments: 18 pages, LaTeX, updated bibliography (only). The full document is now published in the EMS Series of Lectures in Mathematics Subjects: Mathematical Physics (math--ph); High Energy Physics -- Theory (hep-th); Differential Geometry (math.DG); Quantum Algebra (math.QA) Report number: UCR-FM-12-97 Cite as: arXiv:physics/9709045v2 [math-ph] " Also attached is a PDF file on a Standard Model extension by NCG.

Rights:

Open access: http://arxiv.org/abs/physics/9709045

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NCGIntro_Varilly_9709045v2.pdf
NComSUSY.pdf

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