About an instanton-type PDE for Poisson geometry

Abstract: In this talk, I will present an instanton-type PDE associated with a Poisson manifold M. After reviewing its role in an underlying field theory, we present the main theorem showing existence and classification of its solutions. Finally, we discuss its geometric significance leading to a generating function for a symplectic groupoid, Lie-theoretic, integration of M.

algebraic geometrydifferential geometrysymplectic geometry

Audience: researchers in the topic

Geometria em Lisboa (IST)

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