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Torus fibrations on symplectic four-manifolds
Torus fibrations symplectic four-manifolds
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2010/3/1
This paper has two essentially unrelated halves. In the first we prove that a closed symplectic four-manifold admitting a fibration by connected, homologically essential Lagrangian tori with "tame" si...
Braids and symplectic four-manifolds with abelian fundamental group
four-manifolds abelian fundamental group
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2010/3/1
We explain how a version of Floer homology can be used as an invariant of symplectic manifolds with b1>0. As a concrete example, we look at four-manifolds produced from braids by a surgery constructio...