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An Introduction to Noncommutative Geometry

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Geometry and Quantum Physics

Part of the book series: Lecture Notes in Physics ((LNP,volume 543))

Abstract

A review is made of some recent results in noncommutative geometry, including its use as a regularization procedure. Efforts to add a gravitational field to noncommutative models of space-time are also reviewed. Special emphasis is placed on the case which could be considered as the noncommutative analogue of a parallelizable space-time.

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  1. LPT, Université de Paris-Sud, Batiment 211, F-91405, Orsay, France

    J. Madore

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  1. Institut für Theoretische Physik, Karl-Franzens-Universität, Universitätsplatz 5, 8010, Graz, Austria

    H. Gausterer  & L. Pittner  & 

  2. Institut für Theoretische Physik, Universität Wien, Boltzmanngasse 5, 1090, Wien, Austria

    Harald Grosse

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Madore, J. (2000). An Introduction to Noncommutative Geometry. In: Gausterer, H., Pittner, L., Grosse, H. (eds) Geometry and Quantum Physics. Lecture Notes in Physics, vol 543. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-46552-9_5

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