Linear and multiplicative 2-forms

Abstract

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.

to appear in Letters in Mathematical Physics

References in corpus (3)

• Some title containing the words "homotopy" and "symplectic", e.g. this one
• Tangent Lifts of Poisson and Related Structures
• Poisson sigma models and symplectic groupoids

Cited by in corpus (25)

• Quasi-Hamiltonian groupoids and multiplicative Manin pairs
• Lie theory of multiplicative tensors
• Integration of Exact Courant Algebroids
• VB-algebroid morphisms and representations up to homotopy
• Reduction of polysymplectic manifolds
• Van Est isomorphism for homogeneous cochains
• Morita equivalences of vector bundles
• Foliated groupoids and their infinitesimal data
• Poisson Geometry from a Dirac perspective
• Vector Bundle Valued Differential Forms on $\mathbb{N}Q$-manifolds
• Multiplicative Dirac structures
• Infinitesimal objects associated to Dirac groupoids and their homogeneous spaces
• Multiple vector bundles: cores, splittings and decompositions
• Dorfman connections and Courant algebroids
• Lie-Nijenhuis bialgebroids
• On Hausdorff integrations of Lie algebroids
• Quotients of multiplicative forms and Poisson reduction
• Atiyah sequence and Gauge transformations of a principal $2$-bundle over a Lie groupoid
• Deformations of symplectic groupoids
• On the reduced space of multiplicative multivectors
• Poly-symplectic groupoids and poly-Poisson structures
• Affine structures on Lie groupoids
• Local and global integrability of Lie brackets
• Manin triples on multiplicative Courant algebroids
• Multiplicative Gray stability