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An Introduction to Noncommutative Spaces and their Geometry
An Introduction to Noncommutative Spaces and their Geometry
Date: 10 November 2010, 04:44

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These lectures notes are an introduction for physicists to several ideas and applications of noncommutative geometry. The necessary mathematical tools are presented in a way which we feel should be accessible to physicists. We illustrate applications to Yang-Mills, fermionic and gravity models, notably we describe the spectral action recently introduced by Chamseddine and Connes. We also present an introduction to recent work on noncommutative lattices.
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Geometry   Introduction   Spaces  

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