Massey products in differential cohomology via stacks
arXiv:1510.06366 · doi:10.1007/s40062-017-0178-y
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.
50 pages, improved presentation and many corrections, published version
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Cited by in corpus (10)
- Gauge enhancement of super M-branes via parametrized stable homotopy theory
- M/F-Theory as Mf-Theory
- Ramond-Ramond fields and twisted differential K-theory
- Differential cohomotopy versus differential cohomology for M-theory and differential lifts of Postnikov towers
- Primary operations in differential cohomology
- Spectral sequences in smooth generalized cohomology
- Twisted differential generalized cohomology theories and their Atiyah-Hirzebruch spectral sequence
- Twisted differential KO-theory
- Differential cohomology (encyclopedia article)
- Parametrized geometric cobordism and smooth Thom stacks