Spark complexes on good effective orbifold atlases categorically

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Abstract

Good atlases are defined for effective orbifolds, and a spark complex is constructed on each good atlas. It is proved that this process is 2-functorial with compatible systems playing as morphisms between good atlases, and that the spark character 2-functor factors through this 2-functor.

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Du, C. Y., Shen, L., & Zhao, X. (2018). Spark complexes on good effective orbifold atlases categorically. Theory and Applications of Categories, 33, 784–812. https://doi.org/10.70930/tac/pm1ev3bc

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