Refined hexagons for differential cohomology
Algebraic Topology
2014-12-09 v2
Abstract
Cheeger-Simons differential characters and differential -theory are refinements of ordinary cohomology theory and topological -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.
Keywords
Cite
@article{arxiv.1310.0582,
title = {Refined hexagons for differential cohomology},
author = {Man-Ho Ho},
journal= {arXiv preprint arXiv:1310.0582},
year = {2014}
}
Comments
13 pages. A rewritten version. Results and exposition are improved. Comments are welcome. Submitted for publication