论文标题
高度同居的Syzygies的商标准针对小学Abelian $ 2 $ - 组动作
The quotient criterion for syzygies in equivariant cohomology for elementary abelian $2$-group actions
论文作者
论文摘要
让$ g $为小学的Abelian $ 2 $ group，而$ x $是$ g $的本地标准操作。我们提供了一个标准，以确定$ g $ equivariant $ x $的共同顺序，其系数在特征两领域，使用与corners $ x/g $的歧管脸部过滤的复合物相关的复合物。该结果是M. Franz在Arxiv中开发的本地标准圆环动作的商标准的真实版本：1205.4462。
Let $G$ be a elementary abelian $2$-group and $X$ be a manifold with a locally standard action of $G$. We provide a criterion to determine the syzygy order of the $G$-equivariant cohomology of $X$ with coefficients over a field of characteristic two using a complex associated to the cohomology of the face filtration of the manifold with corners $X/G$. This result is the real version of the quotient criterion for locally standard torus actions developed by M. Franz in arXiv:1205.4462.
