Algebraic definition of Holonomy on Poisson Manifold

2007/06/25 by Zakaria Giunashvili, Giunashvili, Zakaria
Mathematics · #Advanced Algebra and Geometry #FOS: Mathematics #Geometry and complex manifolds #Homotopy and Cohomology in Algebraic Topology #Symplectic Geometry (math.SG)

paper · pdf · doi:10.48550/arxiv.0706.3566

openalex publication_date 2007/06/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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

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