Geodesic
Fundamental groups of topological stacks with the slice property
Noohi, Behrang1
1Florida State University, Department of Mathematics, Tallahassee, Florida 32306-4510, USA
Algebraic and Geometric Topology, Tome 8 (2008) no. 3, pp. 1333-1370
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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 formulas for the fundamental group of the coarse quotient of a group action on a topological space in terms of the fixed point data. In particular, we recover, and vastly generalize, results of Armstrong, Bass, Higgins and Taylor and Rhodes.

DOI : 10.2140/agt.2008.8.1333
Keywords: topological stack, fundamental group, Galois theory, covering stack, slice property, coarse quotient, coarse moduli

Noohi, Behrang  1

1 Florida State University, Department of Mathematics, Tallahassee, Florida 32306-4510, USA 
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Noohi, Behrang. Fundamental groups of topological stacks with the slice property. Algebraic and Geometric Topology, Tome 8 (2008) no. 3, pp. 1333-1370. doi: 10.2140/agt.2008.8.1333

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