dorsal/arxiv
View SchemaAn Introduction to Noncommutative Geometry
| Authors | Joseph C. Varilly |
|---|---|
| Categories | |
| ArXiv ID | physics/9709045 |
| URL | https://arxiv.org/abs/physics/9709045 |
Abstract
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.
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"abstract": "This is the introduction and bibliography for lecture notes of a course given\nat the Summer School on Noncommutative Geometry and Applications, sponsored by\nthe European Mathematical Society, at Monsaraz and Lisboa, Portugal, September\n1-10, 1997. In the published version, an epilogue of recent developments and\nmany new references from 1998-2006 have been added.\n 1. Commutative geometry from the noncommutative point of view.\n 2. Spectral triples on the Riemann sphere.\n 3. Real spectral triples, the axiomatic foundation.\n 4. Geometries on the noncommutative torus.\n 5. The noncommutative integral.\n 6. Quantization and the tangent groupoid.\n 7. Equivalence of geometries.\n 8. Action functionals.\n 9. Epilogue: new directions.",
"arxiv_id": "physics/9709045",
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"Joseph C. Varilly"
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"title": "An Introduction to Noncommutative Geometry",
"url": "https://arxiv.org/abs/physics/9709045"
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