Some small orbifolds over polytopes
Algebraic Topology
2011-05-10 v4
Abstract
We introduce some compact orbifolds on which there is a certain finite group action having a simple convex polytope as the orbit space. We compute the orbifold fundamental group and homology groups of these orbifolds. We calculate the cohomology rings of these orbifolds when the dimension of the orbifold is even. These orbifolds are intimately related to the notion of small cover.
Keywords
Cite
@article{arxiv.0912.0777,
title = {Some small orbifolds over polytopes},
author = {Soumen Sarkar},
journal= {arXiv preprint arXiv:0912.0777},
year = {2011}
}
Comments
19 pages, 2 figures, many changes to the previous version. Comments and suggestions are welcome