Showing changes from revision #1 to #2: Added | Removed | Changed

Contents

Idea

An orientation in generalized cohomology is a certain cohomology class. A Anorientation in differential cohomology (possibly shortened to somewhat cryptic differential orientation ) is not just the orientation in the underlying generalized cohomology theory, but it has more structure, namely it is a refinement of this the ordinary orientation class to a cocycle in the correspondingdifferential cohomology.

Examples

• For ordinary differential cohomology a differential orientation is a differential Thom class. See there for details.

References

Around def. 4.19 in

• Mike Hopkins, Isadore Singer, Quadratic Functions in Geometry, Topology, and M-Theory