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.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 169-223 |
| Number of pages | 55 |
| Journal | Journal of Homotopy and Related Structures |
| Volume | 13 |
| Issue number | 1 |
| DOIs | |
| State | Published - Mar 1 2018 |
Keywords
- Anomalies in M-theory and string theory
- Cocycles
- Deligne cohomology
- Differential cohomology
- Massey products
- Secondary operations
- Stacks
ASJC Scopus subject areas
- Algebra and Number Theory
- Geometry and Topology