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What is spectral action, how to compute it and what are the known examples? This book offers a guided tour through the mathematical habitat of noncommutative ge

The unifying theme of this book is the interplay among noncommutative geometry, physics, and number theory. The two main objects of investigation are spaces whe

This book provides an introduction to noncommutative geometry and presents a number of its recent applications to particle physics. It is intended for graduate

Noncommutative geometry, inspired by quantum physics, describes singular spaces by their noncommutative coordinate algebras and metric structures by Dirac-like

The outcome of a close collaboration between mathematicians and mathematical physicists, these Lecture Notes present the foundations of A. Connes noncommutative