论文标题
半等级的dixmier-douady不变
A Semi-equivariant Dixmier-Douady Invariant
论文作者
论文摘要
在新的半含量čech共同体学理论中，构建了dixmier-douady不变性的概括。这种不变的阻塞了半等级的主束的抬高，这些束与结构组的中心精确序列相关，其中每个结构组由均衡群组成。所描述的结果和方法可以应用于配备有线性/反线作用的复杂矢量束，例如Atiyah的实际矢量束。
A generalisation of the equivariant Dixmier-Douady invariant is constructed as a second-degree cohomology class within a new semi-equivariant Čech cohomology theory. This invariant obstructs liftings of semi-equivariant principal bundles that are associated to central exact sequences of structure groups in which each structure group is acted on by the equivariance group. The results and methods described can be applied to the study of complex vector bundles equipped with linear/anti-linear actions, such as Atiyah's Real vector bundles.
