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On a general approach to the formal cohomology of quadratic Poisson structures

Mohsen Masmoudi·Norbert Poncin
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Abstract

We propose a general approach to the formal Poisson cohomology of $r$-matrix induced quadratic structures, we apply this device to compute the cohomology of structure 2 of the Dufour-Haraki classification, and provide complete results also for the cohomology of structure 7.

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Mohsen Masmoudi, Norbert Poncin. 2006-03-08. On a general approach to the formal cohomology of quadratic Poisson structures. https://arxiv.org/abs/math/0505386

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