Irreducible 4-manifolds can admit exotic diffeomorphisms
Geometric Topology
2025-06-30 v2
Abstract
We prove that a variety of examples of minimal complex surfaces admit exotic diffeomorphisms, providing the first known instances of exotic diffeomorphisms of irreducible 4-manifolds. We also give sufficient conditions for the boundary Dehn twist on a spin 4-manifold with boundary to be non-trivial in the relative mapping class group. This gives many new examples of non-trivial boundary Dehn twists.
Keywords
Cite
@article{arxiv.2412.14398,
title = {Irreducible 4-manifolds can admit exotic diffeomorphisms},
author = {David Baraglia and Hokuto Konno},
journal= {arXiv preprint arXiv:2412.14398},
year = {2025}
}
Comments
14 pages, to appear in Duke Math. J