Ribbon cobordisms as a partial order
Geometric Topology
2025-10-23 v3
Abstract
We show that the notion of ribbon rational homology cobordism yields a partial order on the set of aspherical -manifolds, thus supporting a conjecture formulated by Daemi, Lidman, Vela-Vick and Wong. Our proof is built on Agol's recent proof of the fact that ribbon concordance yields a partial order on the set of knots in the 3-sphere.
Keywords
Cite
@article{arxiv.2204.12372,
title = {Ribbon cobordisms as a partial order},
author = {Marius Huber},
journal= {arXiv preprint arXiv:2204.12372},
year = {2025}
}
Comments
The main result is essentially the same as that of arXiv:2204.10730. Comments welcome