Smooth structures on definite four-manifolds with infinite fundamental group
Geometric Topology
2026-04-24 v1
Abstract
For each odd integer , we construct infinitely many pairwise non-diffeomorphic irreducible smooth structures on a definite 4-manifold with infinite fundamental group whose abelianization is .
Cite
@article{arxiv.2604.21317,
title = {Smooth structures on definite four-manifolds with infinite fundamental group},
author = {Sebastián M. Camponovo and Rafael Torres},
journal= {arXiv preprint arXiv:2604.21317},
year = {2026}
}