论文标题
超级转盘和$π$ -smmetric Supermanifolds
Supertransversality and $Π$-symmetric supermanifolds
论文作者
论文摘要
本文的主要目的是将横向概念扩展到超级几何。横向性在经典案例中具有两个重要的属性，即“稳定性”和“通用性”，在以下情况下，在平滑的超级manifords的类别中，超级转换具有稳定的属性。通过将Sard的定理扩展到超级几阶，可以证明通用属性。在最后一部分中，我们检查了$π$ -SMMETRIC SUPERMANIFOLDS类别的横向性。这里提出的理论是朝着超级曼尼弗（Supermanifolds）特征的Euler-Poincaré概念扩展的一步。
The main objective of this article is to extend the concept of transversality to supergeometry. Transversality has two important properties in the classical case, namely " stability" and " genericity", which we show in the following that in the category of smooth supermanifolds, supertransversality has stable property. By extending Sard's theorem to supergeometry, genericity property is proved. In the final section, we examine transversality in the category of $Π$-symmetric supermanifolds. The theory presented here is a step towards an extension of the concept of Euler-Poincaré characteristic to supermanifolds.
