Z. Szabó

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math.GT2026

Small Lefschetz fibrations on the BMY line

R. İnanç Baykur, András I. Stipsicz, Zoltán Szabó

We give explicit positive factorizations for a genus-19 Lefschetz fibration over the torus and a family of genus-4 Lefschetz fibrations over a genus-2 surface. All these examples h…

math.GT2026

Irreducible exotic $CP^{2} #7 C P^{2}$ 's with free involutions

R. İnanç Baykur, András I. Stipsicz, Zoltán Szabó

We construct infinitely many pairwise non-diffeomorphic irreducible smooth four-manifolds homeomorphic to $CP^{2} #7 C P^{2}$ , each ad…

math.GT2024

Smooth structures on four-manifolds with finite cyclic fundamental groups

R. Inanc Baykur, Andras I. Stipsicz, Zoltan Szabo

For each nonnegative integer m we show that any closed, oriented topological four-manifold with fundamental group Z_{4m+2} and odd intersection form, with possibly seven exceptions…

Small Lefschetz fibrations on the BMY line

Irreducible exotic CP2#7CP2's with free involutions

Smooth structures on four-manifolds with finite cyclic fundamental groups

Irreducible exotic $CP^{2} #7 C P^{2}$ 's with free involutions