Constructs automorphism 2-group of Lie groupoids, equates homomorphisms to Kan fibrations, and shows symplectic reductions under étale Lie 2-group Hamiltonian actions yield symplectic Lie 2-groupoids or orbifolds under isotropic free conditions, plus a slice theorem.
Zhu.n-groupoids and stacky Lie groupoids.International Mathematics Research Notices, 2009(21):4087–4141
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Automorphisms of Lie groupoids and symplectic reduction on orbifolds
Constructs automorphism 2-group of Lie groupoids, equates homomorphisms to Kan fibrations, and shows symplectic reductions under étale Lie 2-group Hamiltonian actions yield symplectic Lie 2-groupoids or orbifolds under isotropic free conditions, plus a slice theorem.