The leaf space of a multiplicative foliation

Madeleine Jotz

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arXiv · 1010.3127

The leaf space of a multiplicative foliation

Madeleine Jotz

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Abstract

We show that if a smooth multiplicative subbundle $S\subseteq TG$ on a groupoid $G\rr P$ is involutive and satisfies completeness conditions, then its leaf space $G/S$ inherits a groupoid structure over the space of leaves of $TP\cap S$ in $P$. As an application, a special class of Dirac groupoids is shown to project by forward Dirac maps to Poisson groupoids.

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Madeleine Jotz. 2011-10-14. The leaf space of a multiplicative foliation. https://arxiv.org/abs/1010.3127

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