In symplectic geometry, however, there’s less in the way of conventional wisdom, which invites contention, but also creates exciting possibilities. “For me personally, what was exciting in symplectic ...

More than 30 years ago, Andreas Floer changed geometry. Now, two mathematicians have finally figured out how to extend his revolutionary perspective. Symplectic geometry is a relatively new field with ...

Annals of Mathematics, Vol. 142, No. 3 (Nov., 1995), pp. 527-595 (69 pages) In each even dimension ≥ 4, families of compact, symplectic manifolds are constructed, such that all finitely presentable ...

A symplectic 4-manifold (V, ω) is said to be ruled if it is the total space of a fibration whose fibers are 2-spheres on which the symplectic form does not vanish. This paper develops geometric ...

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