nLab
fiber integration in differential cohomology

Context

Differential cohomology

Integration theory

Contents

Idea

The refinement of the notion of fiber integration in generalized (Eilenberg-Steenrod) cohomology to differential cohomology.

General discussion of fiber integration for Hopkins-Singer coefficients is in (HopkinsSinger, section 4.10) and for integration over circle fibers in (Bunke-Nikolaus-Völkl 13, section 4.5).

In (Bunke-Schick 09) and precursors, existence of fiber integration in differential cohomology over circle fibers was formalized as a separate axiom (Bunke-Schick 09, def. 1.3).

Examples

References

Revised on April 29, 2014 10:53:58 by Urs Schreiber (88.128.80.114)