Roberto Ladu

activity

20232026

collaborators

4 papers

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-Szabó complexity $2$ . We compute the monopole Floer homology and the action of the twisting involution of the protocork boundary a…

math.GT2023

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…

math.GT2023

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…

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

On h-cobordisms of complexity 2

The Akbulut cork is not universal

Non-smoothable homeomorphisms of 4-manifolds with boundary

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