A brief introduction to Dirac manifolds
  These notes are based on lectures given at the school on Geometric and Topological Methods for Quantum Field Theory, in Villa de Leyva, Colombia, in 2009. We present a basic introduction to Dirac manifolds, recalling the original context in which they were defined, their main features, and briefly mentioning more recent developments. 
Henrique Bursztyn
math.DG math-ph math.MP math.SG