An Introduction to Noncommutative Geometry

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dc.creatorVarilly, Joseph C.
dc.date1997-09-30
dc.date2006-08-28
dc.date.accessioned2026-07-07T10:15:52Z
dc.date.available2026-07-07T10:15:52Z
dc.descriptionThis 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.
dc.description18 pages, LaTeX, updated bibliography (only). The full document is now published in the EMS Series of Lectures in Mathematics
dc.identifierhttps://arxiv.org/abs/physics/9709045
dc.identifierhttp://arxiv.org/abs/physics/9709045
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/173318
dc.subjectMathematical Physics
dc.subjectHigh Energy Physics - Theory
dc.subjectDifferential Geometry
dc.subjectQuantum Algebra
dc.titleAn Introduction to Noncommutative Geometry
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