On fibrations of Lie groupoids

DOI10.1016/j.geomphys.2020.103644zbMath1440.22008arXiv1812.05432OpenAlexW3011168477MaRDI QIDQ2174614

Yu Wang, Bo Hui Chen, Cheng-Yong Du

Publication date: 21 April 2020

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1812.05432

zbMATH Keywords

symplectic structuregroupoid cohomologygeneralized cocycleLie groupoid fibrationsmorphism groupoid

Mathematics Subject Classification ID

Topological groupoids (including differentiable and Lie groupoids) (22A22) Pseudogroups and differentiable groupoids (58H05) Groupoids (i.e. small categories in which all morphisms are isomorphisms) (20L05) Groupoids, semigroupoids, semigroups, groups (viewed as categories) (18B40)

Related Items (1)

Orbifold Gromov-Witten theory of weighted blowups

Cites Work

• Non-abelian differentiable gerbes
• Differentiable and algebroid cohomology, Van Est isomorphisms, and characteristic classes
• The groupoid structure of groupoid morphisms
• Duality theorems for étale gerbes on orbifolds
• A de Rham model for Chen-Ruan cohomology ring of abelian orbifolds
• Fibrations of groupoids
• Gluing Principle for Orbifold Stratified Spaces
• Groupoid cohomology and extensions
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