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arXiv · 2208.00694

Semiregularity maps and deformations of modules over Lie algebroids

Ruggero Bandiera·Emma Lepri·Marco Manetti
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Abstract

We determine a DG-Lie algebra controlling deformations of a locally free module over a Lie algebroid $\mathcal{A}$. Moreover, for every flat inclusion of Lie algebroids $\mathcal{A}\subset \mathcal{L}$ we introduce semiregularity maps and prove that they annihilate obstructions, provided that the Leray spectral sequence of the pair $(\mathcal{L},\mathcal{A})$ degenerates at $E_1$.

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Ruggero Bandiera, Emma Lepri, Marco Manetti. 2022-08-01. Semiregularity maps and deformations of modules over Lie algebroids. https://doi.org/10.4310/pamq.241105042944

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