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

Mathematics – Symplectic Geometry

Scientific paper

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19 pages

Scientific paper

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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