👉 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
