Connections in Poisson Geometry I: Holonomy and Invariants
نویسنده
چکیده
We discuss contravariant connections on Poisson manifolds. For vector bundles, the corresponding operational notion of a contravariant derivative had been introduced by I. Vaisman. We show that these connections play an important role in the study of global properties of Poisson manifolds and we use them to define Poisson holonomy and new invariants of Poisson manifolds.
منابع مشابه
Casey Blacker
My research is in differential geometry. Generally speaking, I am interested in symplectic geometry, Lie groups and gauge theories, and geometric invariants relating to index theory. Specifically, I have researched the moduli space MG(M) of flat G-connections over a manifold M of dimension greater than two. These spaces, formally introduced in Section 2.1, arise naturally in physics as the spac...
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