具有平凡标准丛的复超流形
On Complex Supermanifolds with Trivial Canonical Bundle
摘要：
利用Batalin-Vilkovisky超代数结构给出了复超流形的标准丛平凡性的一个代数刻画。作为应用，我们研究了Calabi-Yau情形，得到了一个关于Levi-Civita联络的显式公式.我们的方法包括使用复杂的积分形式和最近发展的理论的超完整性。
英文摘要：
We give an algebraic characterisation for the triviality of the canonical bundle of a complex supermanifold in terms of a certain Batalin-Vilkovisky superalgebra structure. As an application, we study the Calabi-Yau case, in which an explicit formula in terms of the Levi-Civita connection is achieved. Our methods include the use of complex integral forms and the recently developed theory of superholonomy.
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