Massey products in differential cohomology via stacks

Daniel Grady, Hisham Sati

Research output: Contribution to journalArticle

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 languageEnglish (US)
Pages (from-to)169-223
Number of pages55
JournalJournal of Homotopy and Related Structures
Volume13
Issue number1
DOIs
StatePublished - Mar 1 2018

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Cohomology
Differential Geometry
Physics

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

Cite this

Massey products in differential cohomology via stacks. / Grady, Daniel; Sati, Hisham.

In: Journal of Homotopy and Related Structures, Vol. 13, No. 1, 01.03.2018, p. 169-223.

Research output: Contribution to journalArticle

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