TY  - BOOK
AU  - Bar,Christian
AU  - Becker,Christian
TI  - Differential characters
T2  - Lecture notes in mathematics
SN  - 9783319070339
U1  - 514.23 23
PY  - 2014///
CY  - Switzerland
PB  - Springer
KW  - Algebraic topology.
KW  - Global differential geometry
N1  - Includes bibliographical references and index; Differential characters and geometric chains:
1. Introduction--
2. Smooth spaces--
3. Refined smooth singular homology--
4. Geometric chains--
5. Differential characters--
6. The ring structure--
7. Fiber integration--
8. Relative differential characters--
9. Applications--
References--

Relative differential cohomology:
1. Introduction--
2. Stratifold homology--
3. Differential Characters--
4. Internal and external products--
5. Fiber integration and transgression--
References--
Index
N2  - This book 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.
ER  -