activity
19972026
most citedConcordance homomorphisms from knot Floer homology

184 citations · 630 across the 64 of their papers we have counts for

collaborators

73 papers

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 '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 , each ad…

math.GT2026

The real quotient of the Cartwright-Steger surface

András I. Stipsicz, Zoltán Szabó

Borisov and Yeung showed that the Cartwright-Steger surface is defined over , hence complex conjugation gives an antiholomorphic involution on . We show that…

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…

math.GT2023

An exotic 5RP^2 in the 4-sphere

Gordana Matić, Ferit Öztürk, Javier Reyes +2

We show an example of an embedded copy of 5RP^2 in the four-sphere which is topologically standard but smoothly knotted, i.e. smoothly not isotopic to the standard embedding.

math.GT2023

Definite four-manifolds with exotic smooth structures

András I. Stipsicz, Zoltán Szabó

In this paper we study smooth structures on closed oriented 4-manifolds with fundamental group Z_2 and definite intersection form. We construct infinitely many irreducible, smooth,…