论文标题
捆扎在超级曼尼弗
Bundle gerbes on supermanifolds
论文作者
论文摘要
我们表明，超人群上的每个捆绑包都分解为基础歧管上的捆绑包，并在超级曼尼弗上的两种形式。这种分解不是规范的，而是通过选择给基础歧管的投影图决定的。在此过程中，我们证明了在超人群的上下文中与连接的捆绑gerbes和Bundle Gerbes的熟悉的共同体分类定理。
We show that every bundle gerbe on a supermanifold decomposes into a bundle gerbe over the underlying manifold and a 2-form on the supermanifold. This decomposition is not canonical, but is determined by the choice of a projection map to the underlying manifold. Along the way, we prove the familiar cohomological classification theorems for bundle gerbes and bundle gerbes with connection in the context of supermanifolds.
