14 citations · 34 across the 13 of their papers we have counts for
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math.DG2010★ 2 cited
The leaf space of a multiplicative foliation
Madeleine Jotz
We show that if a smooth multiplicative subbundle on a groupoid $G\rr P$ is involutive and satisfies completeness conditions, then its leaf space inherits a g…
math.DG2010★ 7 cited
Infinitesimal objects associated to Dirac groupoids and their homogeneous spaces
M. Jotz
Let $(G\rr P, \mathsf D_G)$ be a Dirac groupoid. We show that there are natural Lie algebroid structures on the units $\lie A(\mathsf D_G)$ and on the core $I^\tg(\mathsf D_G)$ of…
math.DG2010★ 2 cited
Dirac optimal reduction
Tudor S. Ratiu, Madeleine Jotz
The purpose of this paper is to generalize the regular Optimal Reduction Theorem to general proper Dirac actions, formulated both in terms of point and orbit reduction. A compariso…