More drawings by Robert Ghrist. Point-set topology, differential topology, geometric topology, symplectic topology, algebraic topology illustrated. From his (free) notes on applied homology. GLOSSARY Topology = connections between things. Manifolds come in a wide variety of shapes, but they’re all tame. Vector fields = arrows on a manifold. Differential = linear approximation. Symplectic = isotropic + antisymmetric + bilinear. (erm, not as complicated as it sounds) Phase Space means these things can be conceptual rather than literal.