Linear and Multiplicative 2-Forms

@article{Bursztyn2009LinearAM,
  title={Linear and Multiplicative 2-Forms},
  author={H. Bursztyn and A. Cabrera and Cristian Ortiz},
  journal={Letters in Mathematical Physics},
  year={2009},
  volume={90},
  pages={59-83}
}
We study the relationship between multiplicative 2-forms on Lie groupoids and linear 2-forms on Lie algebroids, which leads to a new approach to the infinitesimal description of multiplicative 2-forms and to the integration of twisted Dirac manifolds. 
Symmetries and reduction of multiplicative 2-forms
Multiplicative forms at the infinitesimal level
Quotients of multiplicative forms and Poisson reduction
Lie theory of multiplicative tensors
Quasi-Hamiltonian Groupoids and Multiplicative Manin Pairs
Integration of Exact Courant Algebroids
Affine structures on Lie groupoids.
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References

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Integration of Lie bialgebroids
Tangent lifts of Poisson and related structures
Integration of twisted Dirac brackets
Integrability of Lie brackets
Poisson Geometry with a 3-Form Background
Double vector bundles and duality
Some title containing the words
Dirac geometry, quasi-Poisson actions and D/G-valued moment maps
General theory of lie groupoids and lie algebroids
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