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math.SG2004
Symplectic structures from Lefschetz pencils in high dimensions
Robert E Gompf
A symplectic structure is canonically constructed on any manifold endowed with a topological linear k-system whose fibers carry suitable symplectic data. As a consequence, the clas…
math.SG2002
Toward a topological characterization of symplectic manifolds
Robert E. Gompf
A topological condition is given, characterizing which closed manifolds in dimensions < 8 (and conjecturally in general) admit symplectic structures. The condition is the existence…