Spark complexes on good effective orbifold atlases categorically
Algebraic Topology
2018-08-23 v2 Category Theory
Differential Geometry
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.
Keywords
Cite
@article{arxiv.1708.07551,
title = {Spark complexes on good effective orbifold atlases categorically},
author = {Cheng-Yong Du and Lili Shen and Xiaojuan Zhao},
journal= {arXiv preprint arXiv:1708.07551},
year = {2018}
}
Comments
29 pages, final version