A brief introduction to Dirac manifolds

TL;DR

This paper provides a concise introduction to Dirac manifolds, covering their foundational concepts, main features, and recent developments within the context of geometric and topological methods for quantum field theory.

Contribution

It offers a clear, accessible overview of Dirac manifolds, highlighting their original context, key properties, and recent advancements in the field.

Findings

Introduction to Dirac manifolds and their main features

Discussion of the original context of Dirac manifolds

Brief overview of recent developments in the area

Abstract

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.