Téléchargez le livre : Spectral Action in Noncommutative Geometry

Spectral Action in Noncommutative Geometry

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Éditeur :

Springer


Collection :

SpringerBriefs in Mathematical Physics

Paru le : 2018-12-18

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Description

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 à 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. 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.


The book servesboth as a compendium for researchers in the domain of noncommutative geometry and an invitation to mathematical physicists looking for new concepts.
Pages
155 pages
Collection
SpringerBriefs in Mathematical Physics
Parution
2018-12-18
Marque
Springer
EAN papier
9783319947877
EAN PDF
9783319947884
Informations sur l'ebook
Nombre pages copiables
1
Nombre pages imprimables
15
Taille du fichier
2734 Ko
Prix
58,01 €
EAN EPUB
9783319947884
Informations sur l'ebook
Nombre pages copiables
1
Nombre pages imprimables
15
Taille du fichier
16159 Ko
Prix
58,01 €

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