Description: |
Dirac structures were introduced by T.Courant and A. Weinstein as a way to unify pre-symplectic and Poisson geometry. We intend to present the basics of Dirac structures, including main geometric features and key examples. First we introduce linear Dirac structures and then we generalize to smooth Dirac structures exploring their flexibility when we pass to submanifolds and quotients. This is central in reduction theory of Poisson geometry.
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