Products in Generalized Differential Cohomology

Abstract

In this paper it is shown that multiplicative cohomology theories that are rationally even -- a technical condition that is often satisfied -- the Hopkins-Singer construction of generalized differential cohomology has a unital, graded commutative multiplicative structure. To this end, an explicit integration and a differential cohomology theory for pairs are also developed.

26 pages

References in corpus (2)

• Differential characters and the Steenrod squares
• Relative differential characters

Cited by in corpus (4)

• Flat pairing and generalized Cheeger-Simons characters
• A Bicategory Approach to Differential Cohomology
• Differential K-theory as equivalence classes of maps to Grassmannians and unitary groups
• Relative differential cohomology and generalized Cheeger-Simons characters