Fundamental groups of topological stacks with the slice property

DOI10.2140/agt.2008.8.1333zbMath1149.22003arXiv0710.2615OpenAlexW3106123771MaRDI QIDQ945663

Behrang Noohi

Publication date: 17 September 2008

Published in: Algebraic \& Geometric Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0710.2615

zbMATH Keywords

fundamental groupGalois theorytopological stackcoarse quotientcoarse modulicovering stackslice property

Mathematics Subject Classification ID

Transformation groups and semigroups (topological aspects) (54H15) Discontinuous groups of transformations (57S30) Topological groupoids (including differentiable and Lie groupoids) (22A22) Topological properties of groups of homeomorphisms or diffeomorphisms (57S05) Compact groups of homeomorphisms (57S10) General theory of group and pseudogroup actions (22F05) Noncompact Lie groups of transformations (57S20)

Related Items (10)

Unitary representations of the fundamental group of orbifolds ⋮ Groupe fondamental des champs algébriques, inertie et action galoisienne ⋮ Categorical Equivalence and the Renormalization Group ⋮ Pontrjagin-Thom maps and the homology of the moduli stack of stable curves ⋮ Fundamental exact sequence for the pro-étale fundamental group ⋮ Fibrations of topological stacks ⋮ Symplectic topology of $K3$ surfaces via mirror symmetry ⋮ Discrete dynamics and differentiable stacks ⋮ A push forward construction and the comprehensive factorization for internal crossed modules ⋮ Leaves of stacky Lie algebroids

Cites Work

• Covering theory for graphs of groups
• On the existence of slices for actions of non-compact Lie groups
• Fibrations of topological stacks
• Proper groupoids and momentum maps: Linearization, affinity, and convexity
• LINEARIZATION OF REGULAR PROPER GROUPOIDS
• Calculating the Fundamental Group of an Orbit Space
• On the Fundamental Group of a Transformation Group
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