Symplectic structures on the integration of exact Courant algebroids

DOI10.1016/j.geomphys.2018.02.001zbMath1432.53118arXiv1310.6587OpenAlexW2624942133MaRDI QIDQ1745683

Rajan Amit Mehta, Xiang Tang

Publication date: 18 April 2018

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

Full work available at URL: https://arxiv.org/abs/1310.6587

zbMATH Keywords

DiracCourant algebroidssymplectic 2-groupoids

Mathematics Subject Classification ID

Poisson manifolds; Poisson groupoids and algebroids (53D17) Pseudogroups and differentiable groupoids (58H05)

Related Items (9)

Constant symplectic 2-groupoids ⋮ Shifted symplectic higher Lie groupoids and classifying spaces ⋮ Higher extensions of Lie algebroids ⋮ The geometry of graded cotangent bundles ⋮ Momentum section on Courant algebroid and constrained Hamiltonian mechanics ⋮ On LA-Courant algebroids and Poisson Lie 2-algebroids ⋮ Lie rackoids integrating Courant algebroids ⋮ Atiyah classes and Kontsevich–Duflo type theorem for dg manifolds ⋮ Global aspects of doubled geometry and pre-rackoid

Cites Work

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• From double Lie groupoids to local Lie 2-groupoids
• Integration of exact Courant algebroids
• Kan replacement of simplicial manifolds
• On the de Rham theory of certain classifying spaces
• Infinitesimal computations in topology
• Manin triples for Lie bialgebroids
• Integrability of Lie brackets
• Poisson manifolds and their associated stacks
• On the integration of Poisson manifolds, Lie algebroids, and coisotropic submanifolds
• Integration of twisted Dirac brackets
• AKSZ-BV formalism and courant algebroid-induced topological field theories
• The Geometry of the Master Equation and Topological Quantum Field Theory
• Integrating -algebras
• Dirac Manifolds
• Lie groups

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