The behavior of reductions described by this word on quotient spaces determined by the momentum map is defined by the Marsden–Weinstein (“wine-stine”) theorem. This word describes the creed that “Everything is a Lagrangian (“luh-GRAHN-jee-an”) submanifold.” The Lie (“lee”) derivative of the top exterior power of mathematical objects described by (10[1])this word is always zero. On R-2n, the canonical choice for a mathematical object described by this word is the sum over i of: “dq-sub-i wedge dp-sub-i”. The cotangent bundle (-5[1])of a manifold (-5[1])always has (10[1]-5[1])the structure of this type of manifold. (10[2])The Liouville–Arnold (“l’YOO-vill-arnold”) Theorem (10[1])gives (-5[1])the sufficient conditions for a manifold described by this word to have action-angle coordinates. The action of a differential 2-form described by this word (10[1])defines the Poisson (“pwah-SAWN”) bracket. (-5[1])For 10 points, what word describes the branch of differential geometry that is the natural (-5[1])setting of Hamiltonian mechanics? (10[2])■END■ (10[4]0[11])