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math.GT2008★ 7 cited
Existence of broken Lefschetz fibrations
R. Inanc Baykur
We prove that every closed oriented smooth 4-manifold X admits a broken Lefschetz fibration (aka singular Lefschetz fibration) over the 2-sphere. Given any closed orientable surfac…
math.GT2008★ 10 cited
Topology of broken Lefschetz fibrations and near-symplectic 4-manifolds
R. Inanc Baykur
The topology of broken Lefschetz fibrations is studied by means of handle decompositions. We consider a slight generalization of round handles, and describe the handle diagrams for…
math.GT2007
Simply connected minimal symplectic 4-manifolds with signature less than --1
Anar Akhmedov, Scott Baldridge, R. Inanc Baykur +2
For each pair of integers satisfying , , and , with four exceptions, we construct a minimal, simply connected symplectic 4-manifo…