Algebraic definition of Holonomy on Poisson Manifold

Mathematics – Symplectic Geometry

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11 pages. Some sections concerning Lie algebra cohomomologies with values in an endomorphism algebra are added

Scientific paper

We give an algebraic construction of connection on the symplectic leaves of
Poisson manifold, introduced in \cite{Ginzburg}. This construction is suitable
for the definition of the linearized holonomy on a regular symplectic
foliation.

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