From double Lie groupoids to local Lie 2-groupoids

DOI10.1007/s00574-011-0033-4zbMath1242.53104arXiv1012.4103OpenAlexW1978506814MaRDI QIDQ420562

Rajan Amit Mehta, Xiang Tang

Publication date: 22 May 2012

Published in: Bulletin of the Brazilian Mathematical Society. New Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1012.4103

zbMATH Keywords

categoryLie groupoidfunctorbar constructionsymplectic groupoiddouble groupoidsimplicial manifold

Mathematics Subject Classification ID

Poisson manifolds; Poisson groupoids and algebroids (53D17) Generalized geometries (à la Hitchin) (53D18)

Related Items (19)

Integration of derivations for Lie 2-algebras ⋮ Integrating central extensions of Lie algebras via Lie 2-groups ⋮ Constant symplectic 2-groupoids ⋮ \(C^\ast\)-algebras of 2-groupoids ⋮ Lie rackoids ⋮ Integration of Lie 2-algebras and their morphisms ⋮ \(L_{\infty}\)-algebra actions ⋮ Shifted symplectic higher Lie groupoids and classifying spaces ⋮ Unified picture of non-geometric fluxes and T-duality in double field theory via graded symplectic manifolds ⋮ Categorification of \(\mathsf{VB}\)-Lie algebroids and \(\mathsf{VB}\)-Courant algebroids ⋮ Double groupoids and the symplectic category ⋮ Higher extensions of Lie algebroids ⋮ The general linear 2-groupoid ⋮ Symplectic structures on the integration of exact Courant algebroids ⋮ Discrete dynamics and differentiable stacks ⋮ On LA-Courant algebroids and Poisson Lie 2-algebroids ⋮ Lie rackoids integrating Courant algebroids ⋮ Lie 2-algebroids and matched pairs of 2-representations: a geometric approach ⋮ Higher groupoid bundles, higher spaces, and self-dual tensor field equations

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