Secondary characteristic classes of super-foliations

Camille Laurent-Gengoux

doi:10.1016/j.crma.2004.06.006

Differential Geometry

Secondary characteristic classes of super-foliations

Presented by: Charles-Michel Marle

Camille Laurent-Gengoux ¹

¹ Department of Mathematics, Penn State University, University Park, PA 16802, USA

Comptes Rendus. Mathématique, Volume 339 (2004) no. 8, pp. 567-572.

Abstract
Résumé

We construct secondary classes for super-foliations of codimension $0 + ε 1$ and $1 + ε 1$ . We indicate how to generalize this construction for any regular super-foliations on super-manifolds. We interpret the secondary classes as classes of foliated flat connections.

Nous déterminons des classes caractéristiques secondaires de super-feuilletages de codimension $0 + ε 1$ et $1 + ε 1$ . Nous indiquons comment généraliser cette construction pour les feuilletages réguliers de codimension quelconque sur des super-variétés. Nous interprètons ensuite les classes ainsi construites comme des classes caractéristiques associées à des connexions feuilletées plates.

Received: 2004-02-09
Accepted: 2004-06-05
Published online: 2004-10-01

DOI: 10.1016/j.crma.2004.06.006

Author's affiliations:

Camille Laurent-Gengoux ¹

¹ Department of Mathematics, Penn State University, University Park, PA 16802, USA

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     title = {Secondary characteristic classes of super-foliations},
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Camille Laurent-Gengoux. Secondary characteristic classes of super-foliations. Comptes Rendus. Mathématique, Volume 339 (2004) no. 8, pp. 567-572. doi : 10.1016/j.crma.2004.06.006. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2004.06.006/

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