A ball B^{2n}(r) cannot be symplectically embedded into a cylinder Z^{2n}(R) = D²(R) × ℝ^{2n–2} unless r ≤ R. Proves symplectic capacities are nontrivial invariants — birth of symplectic topology (1985).
A ball B^{2n}(r) cannot be symplectically embedded into a cylinder Z^{2n}(R) = D²(R) × ℝ^{2n–2} unless r ≤ R. Proves symplectic capacities are nontrivial invariants — birth of symplectic topology (1985).