The modular class of a Poisson map
Differential Geometry
2012-08-06 v2 Symplectic Geometry
Abstract
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.
Cite
@article{arxiv.1103.4305,
title = {The modular class of a Poisson map},
author = {Raquel Caseiro and Rui Loja Fernandes},
journal= {arXiv preprint arXiv:1103.4305},
year = {2012}
}
Comments
Final version accepted for publication in Annales de l'Institut Fourier. Several changes made to the manuscript, based on referees' remarks