👉 A symplegade is an algebraic object in the category of smooth manifolds, which is a generalization of complex manifolds to smooth manifolds. A symplegade is defined by its symplectic form and its Lie algebra. In mathematics, a symplegade (or symplectic manifold) is a topological space that can be given the structure of a symplectic manifold. It is an algebraic object in the category of smooth manif
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