Integration of Dirac-Jacobi structures

Abstract

We study precontact groupoids whose infinitesimal counterparts are Dirac-Jacobi structures. These geometric objects generalize contact groupoids. We also explain the relationship between precontact groupoids and homogeneous presymplectic groupoids. Finally, we present some examples of precontact groupoids.

10 pages. Brief changes in the introduction. References updated

References in corpus (8)

• Jacobi structures revisited
• The graded Jacobi algebras and (co)homology
• Contact manifolds and generalized complex structures
• Conformal Dirac Structures
• Variations on Prequantization
• Lie algebroid foliations and ${\mathcal{E}}^1(M)$-Dirac structures
• Integrability of Jacobi structures
• On the geometry of prequantization spaces

Cited by in corpus (7)

• AV-Courant algebroids and generalized CR structures
• An Abstract Morimoto Theorem for Generalized $F$-structures
• Integration of Coupling Dirac Structures
• Higher omni-Lie algebroids
• Gauge transformations of Jacobi structures and contact groupoids
• Jacobi Geometry and Hamiltonian Mechanics: the Unit-Free Approach
• Extensions of Lie Brackets