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Bibliographic Details
Main Authors: Bandiera, Ruggero, Lepri, Emma, Manetti, Marco
Format: Preprint
Published: 2022
Subjects:
Online Access:https://arxiv.org/abs/2208.00694
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Table of Contents:
  • 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 $E_1$.