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arXiv · 2509.03698

A note on pullbacks and blowups of Lie algebroids, singular foliations, and Dirac structures

Andreas Schüßler·Marco Zambon
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Abstract

Lie algebroids, singular foliations, and Dirac structures are closely related objects. We examine the relation between their pullbacks under maps satisfying a constant rank or transversality assumption. A special case is given by blowdown maps. In that case, we also establish the relation between the blowup of a Lie algebroid and its singular foliation.

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Andreas Schüßler, Marco Zambon. 2025-09-03. A note on pullbacks and blowups of Lie algebroids, singular foliations, and Dirac structures. https://arxiv.org/abs/2509.03698

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