Toroidal Orbifold商的上同调
Cohomology of Toroidal Orbifold Quotients
摘要：
设$ϕ:\Z/p\to GL_{n}(\Z)$表示素数阶循环群$p$的整表示.这在圆环$X=\R^{n}/\Z^{n}$上诱导$\Z/p$ -作用。本文的目标是明确地计算任何这样的表示的上同调群$H^{*}(X/\Z/p;\Z)$。作为结果，我们得到了一个明确的计算的分类空间的积分上同调的有限子群的家庭，任何晶体群$Γ=\Z^n\rtimes\Z/p$素holonomy。
英文摘要：
Let $ϕ:\Z/p\to GL_{n}(\Z)$ denote an integral representation of the cyclic group of prime order $p$. This induces a $\Z/p$-action on the torus $X=\R^{n}/\Z^{n}$. The goal of this paper is to explicitly compute the cohomology groups $H^{*}(X/\Z/p;\Z)$ for any such representation. As a consequence we obtain an explicit calculation of the integral cohomology of the classifying space associated to the family of finite subgroups for any crystallographic group $Γ=\Z^n\rtimes\Z/p$ with prime holonomy.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
