Modular classes of Lie algebroid morphisms

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dc.creatorKosmann-Schwarzbach, Yvette
dc.creatorLaurent-Gengoux, Camille
dc.creatorWeinstein, Alan
dc.date2007-12-18
dc.date2008-04-18
dc.date.accessioned2026-07-07T09:33:04Z
dc.date.available2026-07-07T09:33:04Z
dc.descriptionWe 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.
dc.description33 pages. Dedicated to Bertram Kostant for his eightieth birthday. Minor changes in version 2: Proposition 3.11 added, typos corected
dc.identifierhttps://arxiv.org/abs/0712.3021
dc.identifierhttp://arxiv.org/abs/0712.3021
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/159008
dc.subjectDifferential Geometry
dc.subjectSymplectic Geometry
dc.subject17B99, 53D17
dc.titleModular classes of Lie algebroid morphisms
dc.typetext

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