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The geography of simply-connected symplectic manifolds. (English) Zbl 1039.53097
Summary: By using the Seiberg-Witten invariants we show that the region under the Noether line in the lattice domain $$\mathbb Z\times \mathbb Z$$ is covered by minimal, simply connected, symplectic 4-manifolds.

##### MSC:
 53D35 Global theory of symplectic and contact manifolds 57N13 Topology of the Euclidean $$4$$-space, $$4$$-manifolds (MSC2010) 53D05 Symplectic manifolds (general theory) 37J99 Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems 57R17 Symplectic and contact topology in high or arbitrary dimension 57R57 Applications of global analysis to structures on manifolds
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