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- W2112555815 abstract "For a finitely generated discrete group $Gamma$, the $Gamma$-sectors of an orbifold $Q$ are a disjoint union of orbifolds corresponding to homomorphisms from $Gamma$ into a groupoid presenting $Q$. Here, we show that the inertia orbifold and $k$-multi-sectors are special cases of the $Gamma$-sectors, and that the $Gamma$-sectors are orbifold covers of Leida's fixed-point sectors. In the case of a global quotient, we show that the $Gamma$-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 $Gamma$-sectors corresponding to a generalized loop space." @default.
- W2112555815 created "2016-06-24" @default.
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- W2112555815 date "2010-05-01" @default.
- W2112555815 modified "2023-09-24" @default.
- W2112555815 title "Generalized twisted sectors of orbifolds" @default.
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- W2112555815 doi "https://doi.org/10.2140/pjm.2010.246.49" @default.
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