Poisson manifolds and their associated stacks

DOI10.1007/s11005-017-1012-5zbMath1387.53109arXiv1703.03542OpenAlexW2602173396MaRDI QIDQ1745936

Joel Villatoro

Publication date: 18 April 2018

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1703.03542

zbMATH Keywords

Poisson manifoldLie groupoidMorita equivalencedifferentiable stacksymplectic groupoidDirac structure

Mathematics Subject Classification ID

Poisson manifolds; Poisson groupoids and algebroids (53D17) Topological groupoids (including differentiable and Lie groupoids) (22A22) Generalizations (algebraic spaces, stacks) (14A20)

Related Items (2)

Symplectic structures on the integration of exact Courant algebroids ⋮ Integrability of quotients in Poisson and Dirac geometry

Cites Work

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• Multiplicative Dirac structures
• Multiplicative forms at the infinitesimal level
• Dirac Lie groups
• Differentiable stacks and gerbes
• Morita equivalence of Poisson manifolds
• Integrability of Lie brackets
• Integration of twisted Dirac brackets
• Poisson manifolds of compact types (PMCT 1)
• Principal Actions of Stacky Lie Groupoids

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