SpringerBriefs in Mathematical Physics

Spectral Action in Noncommutative Geometry

Authors: Eckstein, Michał, Iochum, Bruno

Free Preview
  •  

Buy this book

eBook $54.99
price for USA in USD (gross)
  • ISBN 978-3-319-94788-4
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $69.99
price for USA in USD
  • ISBN 978-3-319-94787-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this book

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 serves both as a compendium for researchers in the domain of noncommutative geometry and an invitation to mathematical physicists looking for new concepts.

About the authors
Reviews

 “The purpose of the book is to provide a rigid first course in the spectral action and to charm the reader with the marvelous interaction between mathematics and physics encapsulated in the notion of the spectral action.” (Vida Milani, zbMath 1416.81008, 2019)


 

Table of contents (5 chapters)

Table of contents (5 chapters)

Buy this book

eBook $54.99
price for USA in USD (gross)
  • ISBN 978-3-319-94788-4
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $69.99
price for USA in USD
  • ISBN 978-3-319-94787-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Loading...

Recommended for you

Loading...

Bibliographic Information

Bibliographic Information
Book Title
Spectral Action in Noncommutative Geometry
Authors
Series Title
SpringerBriefs in Mathematical Physics
Series Volume
27
Copyright
2018
Publisher
Springer International Publishing
Copyright Holder
The Author(s)
eBook ISBN
978-3-319-94788-4
DOI
10.1007/978-3-319-94788-4
Softcover ISBN
978-3-319-94787-7
Series ISSN
2197-1757
Edition Number
1
Number of Pages
XIV, 155
Number of Illustrations
3 b/w illustrations
Topics