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Principal Bundles

The Quantum Case

  • Textbook
  • © 2015

Overview

  • Exercises throughout
  • Topics have never been presented in a book written for a general audience of mathematicians and physicists
  • Provides a more intuitive, accessible presentation of the material

Part of the book series: Universitext (UTX)

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Table of contents (16 chapters)

Keywords

About this book

This introductory text is the first book about quantum principal bundles and their quantum connections which are natural generalizations to non-commutative geometry of principal bundles and their connections in differential geometry. To make for a more self-contained book there is also much background material on Hopf algebras, (covariant) differential calculi, braid groups and compatible conjugation operations. The approach is slow paced and intuitive in order to provide researchers and students in both mathematics and physics ready access to the material.

Reviews

“The book contains a lot of exercises of different degree of difficulties, but the proofs of the theorems are done in detail. The book is very elaborate and very welcome not only for graduate students, but also for all people interested in mathematical physics.” (Stefan Berceanu, zbMATH 1358.58002, 2017)

Authors and Affiliations

  • Centro de Investigacion en Matematicas, Guanajuato, Mexico

    Stephen Bruce Sontz

About the author

Stephen Bruce Sontz is a Professor at Centro de Investigacion en Matematicas (CIMAT). He received his Ph.D. from the University of Virginia, USA, in 1994.

Bibliographic Information

  • Book Title: Principal Bundles

  • Book Subtitle: The Quantum Case

  • Authors: Stephen Bruce Sontz

  • Series Title: Universitext

  • DOI: https://doi.org/10.1007/978-3-319-15829-7

  • Publisher: Springer Cham

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: Springer International Publishing Switzerland 2015

  • Softcover ISBN: 978-3-319-15828-0Published: 30 April 2015

  • eBook ISBN: 978-3-319-15829-7Published: 20 April 2015

  • Series ISSN: 0172-5939

  • Series E-ISSN: 2191-6675

  • Edition Number: 1

  • Number of Pages: XV, 350

  • Topics: Mathematical Physics, Quantum Computing, Quantum Physics

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