Some remarks on $h$-cobordisms between smooth 4-manifolds
Geometric Topology
2026-05-01 v1 Algebraic Topology
Abstract
It is not known whether the realisation part of the -cobordism theorem holds for smooth 4-manifolds, nor whether every pair of smoothly -cobordant 4-manifolds is also smoothly -cobordant. We provide some new conditions under which these questions admit a positive answer. We also give conditions under which the `standard' method to construct an -cobordism with specified torsion cannot work.
Cite
@article{arxiv.2604.27635,
title = {Some remarks on $h$-cobordisms between smooth 4-manifolds},
author = {Alexander Kupers and Mark Powell},
journal= {arXiv preprint arXiv:2604.27635},
year = {2026}
}
Comments
9 pages, 1 figure