广义扭曲轨道扇
Generalized twisted sectors of orbifolds
摘要：
对于一个随机生成的离散群$Γ$，一个orbifold $Q$的$Γ$ -扇区是对应于从$Γ$到一个呈现$Q$的广群的同态的orbifold的不相交并集。在这里，我们表明，惯性orbifold和$k$ -多部门是特殊情况下的$Γ$ -部门，和$Γ$ -部门是orbifold覆盖Leida的定点部门。在全球商的情况下，我们表明，$Γ$ -部门对应于orbifolds考虑其他作者的全球商orbifolds以及其直接推广的情况下，orbifolds由一个李群的商。此外，我们开发了一个模型的$Γ$ -扇区对应的广义闭路空间。
英文摘要：
For a finitely generated discrete group $Γ$, the $Γ$-sectors of an orbifold $Q$ are a disjoint union of orbifolds corresponding to homomorphisms from $Γ$ into a groupoid presenting $Q$. Here, we show that the inertia orbifold and $k$-multi-sectors are special cases of the $Γ$-sectors, and that the $Γ$-sectors are orbifold covers of Leida's fixed-point sectors. In the case of a global quotient, we show that the $Γ$-sectors correspond to orbifolds considered by other authors for global quotient orbifolds as well as their direct generalization to the case of an orbifold given by a quotient by a Lie group. Furthermore, we develop a model for the $Γ$-sectors corresponding to a generalized loop space.
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