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arXiv · 1403.2934

Dirac groupoids and Dirac bialgebroids

Madeleine Jotz Lean
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Abstract

We describe infinitesimally Dirac groupoids via geometric objects that we call Dirac bialgebroids. In the two well-understood special cases of Poisson and presymplectic groupoids, the Dirac bialgebroids are equivalent to the Lie bialgebroids and IM-$2$-forms, respectively. In the case of multiplicative involutive distributions on Lie groupoids, we find new properties of infinitesimal ideal systems.

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Madeleine Jotz Lean. 2014-03-12. Dirac groupoids and Dirac bialgebroids. https://arxiv.org/abs/1403.2934

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