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Poisson fiber bundles and coupling Dirac structures

Aïssa Wade
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Abstract

We give sufficient conditions for the existence of a Dirac structure on the total space of a Poisson fiber bundle endowed with a compatible connection. We also show that Cartan and Cartan-Hannay-Berry connections give rise to coupling Dirac structures.

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Aïssa Wade. 2005-07-28. Poisson fiber bundles and coupling Dirac structures. https://arxiv.org/abs/math/0507594

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