论文标题
载体束上的超晶型连接超卡勒歧管
Hyper-holomorphic connections on vector bundles on hyper-Kähler manifolds
论文作者
论文摘要
我们研究了在任意维度的高kähler歧管上的复合矢量束上自动和超晶连接的无限变形。特别是，我们描述了控制此变形问题的DG谎言代数。此外，我们证明了全体形矢量束的派生性内态性的联想形式，并承认了一种投射性超晶连接。
We study infinitesimal deformations of autodual and hyper-holomorphic connections on complex vector bundles on hyper-Kähler manifolds of arbitrary dimension. In particular, we describe the DG Lie algebra controlling this deformation problem. Moreover, we prove associative formality for derived endomorphisms of a holomorphic vector bundle admitting a projectively hyper-holomorphic connection.
