论文标题
全态 - 吉格斯对的变形
Deformations of holomorphic-Higgs pairs
论文作者
论文摘要
我们研究了全态 - 吉格斯对的变形。 Holomorphic-higgs对是一对复杂的歧管，上面是希格斯束。我们介绍了来自变形的差分级谎言代数（DGLA）。我们得出了毛勒 - 卡丹方程式，该方程式控制着全态 - 吉格斯对的变形，构建了库兰尼家族，并证明了其局部完整性。
We study the deformation of the holomorphic-Higgs pair. The holomorphic-Higgs pair is a pair of a complex manifold and a Higgs bundle over it. We introduce the differential graded Lie algebra (DGLA) which comes from the deformation. We derive the Maurer-Cartan equation which governs the deformation of the holomorphic-Higgs pair, construct the Kuranishi family of it, and prove its local completeness.
