paper

Rational homology ribbon cobordism is a partial order

arXiv:2204.10730 · doi:10.2140/agt.2025.25.245

Abstract

We show that ribbon rational homology cobordism is a partial order within the class of irreducible 3-manifolds. This makes essential use of the methods recently employed by Ian Agol to show that ribbon knot concordance is a partial order.

10 pages. v2: Misleading typo corrected in the proof of Theorem 1.2