论文标题
关于阿贝利亚差异层层的共同学
On the cohomology of strata of abelian differentials
论文作者
论文摘要
对于g> 2，我们研究了由Codimension One的边界层所定义的Abelian差异层的共同学类别。作为应用程序，我们找到了旋转模量空间的显式分层，用于由Codimension J-1的G-1层D_J组成的奇数旋转结构，因此D_J并不包含所有j的完整亚变量。我们还使用统一的拓扑方法恢复了Koroktin和Zograf以及Chen的一些结果。
For g>2 we study the cohomology classes in the closure of a stratum of abelian differentials defined by the boundary strata of codimension one. As an application, we find an explicit stratification of the spin moduli space for an odd spin structure consisting of g-1 strata D_j of codimension j-1 such that D_j does not contain a complete subvariety for all j. We also recover some results of Koroktin and Zograf and of Chen using a unified topological approach.
