Translation Groupoids and Orbifold Bredon Cohomology
Algebraic Topology
2010-03-10 v3 Category Theory
Abstract
We show that the bicategory of (representable) orbifolds and good maps is equivalent to the bicategory of orbifold translation groupoids and generalized equivariant maps. We use this result to define an orbifold version of Bredon cohomology.
Cite
@article{arxiv.0705.3249,
title = {Translation Groupoids and Orbifold Bredon Cohomology},
author = {Dorette Pronk and Laura Scull},
journal= {arXiv preprint arXiv:0705.3249},
year = {2010}
}
Comments
29 pages, we have added further details and examples; this paper will appear in the Canadian Journal of Mathematics