Fundamental groups of topological stacks with slice property
Algebraic Topology
2014-10-01 v1
Abstract
The main result of the paper is a formula for the fundamental group of the coarse moduli space of a topological stack. As an application, we find simple general formulas for the fundamental group of the coarse quotient of a group action on a topological space in terms of the fixed point data. The formulas seem, surprisingly, to be new. In particular, we recover, and vastly generalize, results of Armstrong, Bass, Higgins, Rhodes.
Keywords
Cite
@article{arxiv.0710.2615,
title = {Fundamental groups of topological stacks with slice property},
author = {Behrang Noohi},
journal= {arXiv preprint arXiv:0710.2615},
year = {2014}
}