A note on the complexity of h-cobordisms
Geometric Topology
2021-01-06 v4
Abstract
We show that the number of double points of smoothly immersed 2-spheres representing certain homology classes of an oriented, smooth, closed, simply-connected 4-manifold X must increase with the complexity of corresponding h-cobordisms from X to X. As an application, we give results restricting the minimal number of double points of immersed spheres in manifolds homeomorphic to rational surfaces.
Cite
@article{arxiv.1811.02753,
title = {A note on the complexity of h-cobordisms},
author = {Hannah R. Schwartz},
journal= {arXiv preprint arXiv:1811.02753},
year = {2021}
}
Comments
Minor corrections, final version to appear in AGT