Massey products in differential cohomology via stacks
Algebraic Topology
2018-03-06 v3 Mathematical Physics
Differential Geometry
math.MP
Abstract
We extend Massey products from cohomology to differential cohomology via stacks, organizing and generalizing existing constructions in Deligne cohomology. We study the properties and show how they are related to more classical Massey products in de Rham, singular, and Deligne cohomology. The setting and the algebraic machinery via stacks allow for computations and make the construction well-suited for applications. We illustrate with several examples from differential geometry and mathematical physics.
Keywords
Cite
@article{arxiv.1510.06366,
title = {Massey products in differential cohomology via stacks},
author = {Daniel Grady and Hisham Sati},
journal= {arXiv preprint arXiv:1510.06366},
year = {2018}
}
Comments
50 pages, improved presentation and many corrections, published version