We determine a DG-Lie algebra controlling deformations of a locally free module over a Lie algebroid A. Moreover, for every flat inclusion of Lie algebroids A ⊂ L we introduce semiregu-larity maps and prove that they annihilate obstructions, provided that the Leray spectral sequence of the pair (L, A) degenerates at E1.
Semiregularity maps and deformations of modules over Lie algebroids
Lepri E.;
2024-01-01
Abstract
We determine a DG-Lie algebra controlling deformations of a locally free module over a Lie algebroid A. Moreover, for every flat inclusion of Lie algebroids A ⊂ L we introduce semiregu-larity maps and prove that they annihilate obstructions, provided that the Leray spectral sequence of the pair (L, A) degenerates at E1.
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