On quasi-Jacobi and Jacobi-quasi bialgebroids

Abstract

We study quasi-Jacobi and Jacobi-quasi bialgebroids and their relationships with twisted Jacobi and quasi Jacobi manifolds. We show that we can construct quasi-Lie bialgebroids from quasi-Jacobi bialgebroids, and conversely, and also that the structures induced on their base manifolds are related via a quasi Poissonization.

References in corpus (4)

• The modular class of a twisted Poisson structure
• Twisted Jacobi manifolds, twisted Dirac-Jacobi structures and quasi-Jacobi bialgebroids
• Universal lifting theorem and quasi-Poisson groupoids
• Characteristic foliation of twisted Jacobi manifolds