论文标题
模块的半剖张图和谎言代数的变形
Semiregularity maps and deformations of modules over Lie algebroids
论文作者
论文摘要
我们确定一个DG-lie代数控制本地自由模块在lie代数$ \ mathcal {a} $上的变形。此外，对于每一个平面包含Lie代数$ \ MATHCAL {a} \ subset \ Mathcal {l} $，我们介绍了半毛图地图并证明它们会歼灭障碍物，前提是它们的leray频谱序列是Pair $ $（\ Mathcal {l Mathcal {l} at at}，\ Mathcal $ e} $ e} $ e} $ e}）
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 $E_1$.
