Quantization of Higher Abelian Gauge Theory in Generalized Differential   Cohomology
  We review and elaborate on some aspects of the quantization of certain classes of higher abelian gauge theories using techniques of generalized differential cohomology. Particular emphasis is placed on the examples of generalized Maxwell theory and Cheeger-Simons cohomology, and of Ramond-Ramond fields in Type II superstring theory and differential K-theory. 
Richard J. Szabo
hep-th math.AT math.DG math.KT