Orbifolds and groupoids

DOI10.1016/J.TOPOL.2011.11.043zbMath1255.57024arXiv1008.0988OpenAlexW2963010257MaRDI QIDQ409514

Matteo Tommasini

Publication date: 13 April 2012

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1008.0988

zbMATH Keywords

Morita equivalences2-categories and 2-functorsproper étale effective groupoid objects over complex manifoldsreduced complex orbifolds

Mathematics Subject Classification ID

Module categories in associative algebras (16D90) Pseudogroups, differentiable groupoids and general structures on manifolds (58H99) Topological groupoids (including differentiable and Lie groupoids) (22A22) Groupoids (i.e. small categories in which all morphisms are isomorphisms) (20L05) Generalizations (algebraic spaces, stacks) (14A20) Topology and geometry of orbifolds (57R18)

Related Items (4)

Spark and Deligne-Beilinson cohomology on orbifolds ⋮ A bicategory of reduced orbifolds from the point of view of differential geometry ⋮ Spark complexes on good effective orbifold atlases categorically ⋮ The groupoid structure of groupoid morphisms

Cites Work

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• Orbifolds, sheaves and groupoids
• Gerbes over orbifolds and twisted \(K\)-theory
• Translation Groupoids and Orbifold Cohomology
• CHEN–RUAN COHOMOLOGY OF ADE SINGULARITIES

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