Linear and multiplicative 2-forms

2009/11/02 by Henrique Bursztyn, Alejandro Cabrera, Cristian Ortiz · 1 citation
Mathematics · #math.DG #math.SG

paper · pdf · doi:10.1007/s11005-009-0349-9

to appear in Letters in Mathematical Physics

arxiv created 2009/11/02 · arxiv updated 2009/12/01

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.

Cited by

• Affine deformations of cotangent groupoids

Related

• Symmetries and reduction of multiplicative 2-forms
• Multiplicative forms at the infinitesimal level
• Multiplicative Dirac structures
• Multiplicativity, from Lie groups to generalized geometry
• Dirac groupoids and Dirac bialgebroids