Relative modular classes of Lie algebroids

Yvette Kosmann-Schwarzbach; Alan Weinstein

doi:10.1016/j.crma.2005.09.010

Differential Geometry

Relative modular classes of Lie algebroids

Presented by: Charles-Michel Marle

Yvette Kosmann-Schwarzbach ¹; Alan Weinstein ²

¹ UMR 7640 du CNRS, Centre de mathématiques Laurent Schwartz, École polytechnique, 91128 Palaiseau, France
² Department of Mathematics, University of California, Berkeley, CA 94720, USA

Comptes Rendus. Mathématique, Volume 341 (2005) no. 8, pp. 509-514.

Abstract
Résumé

We study the relative modular classes of Lie algebroids, and we determine their relationship with the modular classes of Lie algebroids with a twisted Poisson structure.

Nous étudions les classes modulaires relatives des algébroïdes de Lie et nous déterminons leur relation avec les classes modulaires des algébroïdes de Lie avec structure de Poisson tordue.

Received: 2005-08-25
Accepted: 2005-09-05
Published online: 2005-09-23

DOI: 10.1016/j.crma.2005.09.010

Author's affiliations:

Yvette Kosmann-Schwarzbach ¹; Alan Weinstein ²

¹ UMR 7640 du CNRS, Centre de mathématiques Laurent Schwartz, École polytechnique, 91128 Palaiseau, France
² Department of Mathematics, University of California, Berkeley, CA 94720, USA

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     title = {Relative modular classes of {Lie} algebroids},
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     pages = {509--514},
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     number = {8},
     year = {2005},
     doi = {10.1016/j.crma.2005.09.010},
     language = {en},
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Yvette Kosmann-Schwarzbach; Alan Weinstein. Relative modular classes of Lie algebroids. Comptes Rendus. Mathématique, Volume 341 (2005) no. 8, pp. 509-514. doi : 10.1016/j.crma.2005.09.010. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2005.09.010/

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