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© 2014

Differential Characters

Book

Part of the Lecture Notes in Mathematics book series (LNM, volume 2112)

Table of contents

  1. Front Matter
    Pages i-viii
  2. Christian Bär, Christian Becker
    Pages 1-90
  3. Christian Becker
    Pages 91-180
  4. Back Matter
    Pages 181-189

About this book

Introduction

Providing a systematic introduction to differential characters as introduced by Cheeger and Simons, this text describes important concepts such as fiber integration, higher dimensional holonomy, transgression, and the product structure in a geometric manner. Differential characters form a model of what is nowadays called differential cohomology, which is the mathematical structure behind the higher gauge theories in physics.

 

Keywords

53C08,55N20. Cheeger-Simons differential character Differential cohomology Fiber integration Higher dimensional holonomy Higher gauge theory

Authors and affiliations

  1. 1.Institut für MathematikUniversität PotsdamPotsdamGermany
  2. 2.Institut für MathematikUniversität PotsdamPotsdamGermany

Bibliographic information

  • Book Title Differential Characters
  • Authors Christian Bär
    Christian Becker
  • Series Title Lecture Notes in Mathematics
  • Series Abbreviated Title Lect.Notes Mathematics
  • DOI https://doi.org/10.1007/978-3-319-07034-6
  • Copyright Information Springer International Publishing Switzerland 2014
  • Publisher Name Springer, Cham
  • eBook Packages Mathematics and Statistics Mathematics and Statistics (R0)
  • Softcover ISBN 978-3-319-07033-9
  • eBook ISBN 978-3-319-07034-6
  • Series ISSN 0075-8434
  • Series E-ISSN 1617-9692
  • Edition Number 1
  • Number of Pages VIII, 187
  • Number of Illustrations 0 b/w illustrations, 0 illustrations in colour
  • Topics Differential Geometry
    Algebraic Topology
  • Buy this book on publisher's site