From Poisson structures to integrability and Lie group actions

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We present some examples of non-symplectic Poisson structures and study integrability and moment map. We will talk about local and global action coordinates. I introduce the notion of Toric manifolds and talk about Delzant 's theorem. Toric manifolds provide examples of integrable systems.
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May I ask the definition of det(df, dg, dH), please?

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