An Introduction to Noncommutative Geometry (EMS Series of Lectures in Mathematics) by Joseph C. Varilly
English | June 15, 2006 | ISBN: 3037190248 | 55 Pages | PDF | 1 MB
Noncommutative geometry, inspired by quantum physics, describes singular spaces by their noncommutative coordinate algebras and metric structures by Dirac-like operators. Such metric geometries are described mathematically by Connes' theory of spectral triples. These lectures, delivered at an EMS Summer School on noncommutative geometry and its applications, provide an overview of spectral triples based on examples.