Integration of coupling Dirac structures

Olivier Brahic, Rui Loja Fernandes

Research output: Contribution to journalArticlepeer-review


Coupling Dirac structures are Dirac structures defined on the total space of a fibration, generalizing hamiltonian fibrations from symplectic geometry, where one replaces the symplectic structure on the fibers by a Poisson structure. We study the associated Poisson gauge theory, in order to describe the presymplectic groupoid integrating coupling Dirac structures. We find the obstructions to integrability, and we give explicit geometric descriptions of the integration.

Original languageEnglish (US)
Pages (from-to)325-367
Number of pages43
JournalPacific Journal of Mathematics
Issue number2
StatePublished - 2015


  • Coupling
  • Dirac structure
  • Presymplectic integration

ASJC Scopus subject areas

  • Mathematics(all)


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