Non-exactness of toric Poisson structures

David Martínez Torres; Marcelo Silva

doi:10.1016/j.geomphys.2022.104645

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arXiv · 2204.11916

Non-exactness of toric Poisson structures

David Martínez Torres·Marcelo Silva

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Abstract

We prove that a Poisson structure on a projective toric variety which is invariant by the torus action and whose symplectic leaves are the torus orbits is not exact. This is deduced from a geometric criterion for non-exactness of Poisson structures with a finite number of symplectic leaves.

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David Martínez Torres, Marcelo Silva. 2022-04-25. Non-exactness of toric Poisson structures. https://doi.org/10.1016/j.geomphys.2022.104645

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