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JGM
We show that if a smooth multiplicative subbundle
$S\subseteq TG$ on a groupoid $G⇉P$ 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.
As an application, a special class of Dirac groupoids is shown to project by forward Dirac maps to Poisson groupoids.
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