Spectral Action in Noncommutative Geometry

Understand

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 geometry \`a la Connes, deliberately unveiling the answers to these questions.

• After a brief preface flashing the panorama of the spectral approach, a concise primer on spectral triples is given.
• Chapter 2 is designed to serve as a toolkit for computations.
• The third chapter offers an in-depth view into the subtle links between the asymptotic expansions of traces of heat operators and meromorphic extensions of the associated spectral zeta functions.