超对称为背景的规范场论中 Cech cohomology应用其实挺多的,在Seiberg-Witten中也可以看到有关Cech comple...
Cech cohomology跟微分结构没关系,因为它只跟sheaf有关,而sheaf是定义在拓扑空间上的。事实上de Rham ...
Topological Chern-Simons (CS) and BF theories and their holomorphic analogues are discussed in terms of de Rham and Dolbeault cohomologies. We show that Cech cohomology provides another useful description of the above topological and holomorphic field theories. In particular, all hidden (nonlocal) ...
Cech complex是用常值层的Cech complex 与给定的层张量积得到,之后取整体截面并取cohomology就能得到相应...
We present a new ''ech-De Rham'' model for the cohomology of the classifying space of a foliated manifold. This model enables us to lift the construction of known characteristic classes in the cohomology of the manifold to the cohomology of the classifying space, by standard geometric methods...
sheaf cohomologyThe present paper is a continuation of our work on curved finitary spacetime sheaves of incidence algebras and treats the latter along Cech cohomological lines. In particular, we entertain the possibility of constructing a non-trivial de Rham complex on these finite dimensional algebra...