Roberto Ladu

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math.GT2026

On smooth structures over $4$ -manifolds with fundamental group of even order

Roberto Ladu, Simone Tagliente

We show that any topological, closed, oriented, non-spin $4$ -manifold with fundamental group $Z_{4 k}$ and $min (b_{2}^{+}, b_{2}^{-}) \geq 15$ , has either none or infinitely many d…

math.GT2025

On $h$ -cobordisms of complexity $2$

Roberto Ladu

We study $5$ -dimensional $h$ -cobordisms of Morgan-SzabÃ³ complexity $2$ . We compute the monopole Floer homology and the action of the twisting involution of the protocork boundary…

math.GT2025

Non-smoothable homeomorphisms of $4$ -manifolds with boundary

Daniel Galvin, Roberto Ladu

We construct the first examples of non-smoothable self-homeomorphisms of smooth $4$ -manifolds with boundary that fix the boundary and act trivially on homology. As a corollary, we…

math.GT2024

Protocorks and monopole Floer homology

Roberto Ladu

We introduce and study a class of compact 4-manifolds with boundary that we call protocorks. Any exotic pair of simply connected closed 4-manifolds is related by a protocork twist,…

math.GT2024

The Akbulut cork is not universal

Roberto Ladu

We exhibit infinitely many exotic pairs of simply-connected, closed $4$ -manifolds not related by any cork of the infinite family $W_{n}$ constructed by Akbulut and Yasui whose first…

On smooth structures over 4-manifolds with fundamental group of even order

On h-cobordisms of complexity 2

Non-smoothable homeomorphisms of 4-manifolds with boundary

Protocorks and monopole Floer homology

The Akbulut cork is not universal

On smooth structures over $4$ -manifolds with fundamental group of even order

On $h$ -cobordisms of complexity $2$

Non-smoothable homeomorphisms of $4$ -manifolds with boundary