Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Preprint |
| Published: |
2022
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2208.00694 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866910777064030208 |
|---|---|
| author | Bandiera, Ruggero Lepri, Emma Manetti, Marco |
| author_facet | Bandiera, Ruggero Lepri, Emma Manetti, Marco |
| 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 $E_1$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2208_00694 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Semiregularity maps and deformations of modules over Lie algebroids Bandiera, Ruggero Lepri, Emma Manetti, Marco Algebraic Geometry Differential Geometry Quantum Algebra 14D15, 17B70 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 $E_1$. |
| title | Semiregularity maps and deformations of modules over Lie algebroids |
| topic | Algebraic Geometry Differential Geometry Quantum Algebra 14D15, 17B70 |
| url | https://arxiv.org/abs/2208.00694 |