2013/10/02 by Man-Ho Ho, Ho, Man-Ho
Mathematics · #Advanced Topics in Algebra #Algebraic Geometry and Number Theory #Algebraic Topology (math.AT) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #math.AT
paper · pdf · doi:10.48550/arxiv.1310.0582
13 pages. A rewritten version. Results and exposition are improved. Comments are welcome. Submitted for publication
openalex publication_date 2013/10/02 · arxiv created 2014/12/07 · arxiv updated 2014/12/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Cheeger-Simons differential characters and differential K-theory are refinements of ordinary cohomology theory and topological K-theory respectively, and they are examples of differential cohomology. Each of these differential cohomology theories fits into a hexagon on the cohomology level. We show that these differential cohomology theories fit into hexagons on the cocycle level, and the hexagons on the cocycle level induce the hexagons on the cohomology level.