2007/12/18 by Yvette Kosmann-Schwarzbach, Yvette Kosmann–Schwarzbach, Kosmann-Schwarzbach, Yvette +4
Mathematics · #17B99 #53D17 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Differential Geometry (math.DG) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Symplectic Geometry (math.SG) #math.DG #math.SG #msc:17B99 #msc:53D17
paper · pdf · doi:10.48550/arxiv.0712.3021
33 pages. Dedicated to Bertram Kostant for his eightieth birthday. Minor changes in version 2: Proposition 3.11 added, typos corected
openalex publication_date 2007/12/18 · arxiv created 2008/04/18 · arxiv updated 2009/12/01 · openalex created_date 2019/06/27 · openalex updated_date 2026/07/28
We study the behavior of the modular class of a Lie algebroid under general Lie algebroid morphisms by introducing the relative modular class. We investigate the modular classes of pull-back morphisms and of base-preserving morphisms associated to Lie algebroid extensions. We also define generalized morphisms, including Morita equivalences, that act on the 1-cohomology, and observe that the relative modular class is a coboundary on the category of Lie algebroids and generalized morphisms with values in the 1-cohomology.