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math.SG2005★ 27 cited
Minimality and irreducibility of symplectic four-manifolds
M. J. D. Hamilton, D. Kotschick
We prove that all minimal symplectic four-manifolds are essentially irreducible. We also clarify the relationship between holomorphic and symplectic minimality of Kähler surfaces.…
math.SG2004★ 9 cited
Free circle actions with contractible orbits on symplectic manifolds
D. Kotschick
We prove that closed symplectic four-manifolds do not admit any smooth free circle actions with contractible orbits, without assuming that the actions preserve the symplectic forms…
math.SG2004★ 33 cited
The geometry of symplectic pairs
G. Bande, D. Kotschick
We study the geometry of manifolds carrying symplectic pairs consisting of two closed 2-forms of constant ranks, whose kernel foliations are complementary. Using a variation of the…