The modular class of a poisson map

Raquel Caseiro, Rui Loja Fernandes

Research output: Contribution to journalArticlepeer-review


We introduce the modular class of a Poisson map. We look at several examples and we use the modular classes of Poisson maps to study the behavior of the modular class of a Poisson manifold under different kinds of reduction. We also discuss their symplectic groupoid version, which lives in groupoid cohomology.

Original languageEnglish (US)
Pages (from-to)1285-1329
Number of pages45
JournalAnnales de l'Institut Fourier
Issue number4
StatePublished - Nov 25 2013


  • Modular class
  • Poisson manifold
  • Poisson map

ASJC Scopus subject areas

  • Algebra and Number Theory
  • Geometry and Topology

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