Spark complexes on good effective orbifold atlases categorically

Cheng-Yong Du, Lili Shen and Xiaojuan Zhao

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.

Keywords: good effective orbifold atlas, compatible system, spark complex, spark homomorphism, spark homotopy, spark character

2010 MSC: 57R18, 18D05, 53C08

Theory and Applications of Categories, Vol. 33, 2018, No. 26, pp 784-812.

Published 2018-08-21.

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