English

The modular class of a Dirac map

Differential Geometry 2016-03-23 v1

Abstract

In this paper we study the modular classes of Dirac manifolds and of Dirac maps, and we discuss their basic properties. We apply these results to explain the relationship between the modular classes of the various structures involved in the reduction of a Poisson manifold under the action by of a Poisson Lie group.

Keywords

Cite

@article{arxiv.1601.06973,
  title  = {The modular class of a Dirac map},
  author = {Raquel Caseiro},
  journal= {arXiv preprint arXiv:1601.06973},
  year   = {2016}
}

Comments

Accepted for publication in J. Geometry and Physics

R2 v1 2026-06-22T12:36:50.067Z