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Spectral Action in Noncommutative Geometry
Paperback
Series: Springerbriefs in Mathematical Physics, Book 27
ISBN13: 9783319947877
Publisher: Springer Nature
Published: Jan 3 2019
Pages: 155
Weight: 0.55
Height: 0.37 Width: 6.14 Depth: 9.21
Language: English
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. Chapter 4 studies the behaviour of the spectral action under fluctuations by gauge potentials. A subjective list of open problems in the field is spelled out in the fifth Chapter. The book concludes with an appendix including some auxiliary tools from geometry and analysis, along with examples of spectral geometries.
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