English

Rational homology ribbon cobordism is a partial order

Geometric Topology 2025-03-12 v2

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.

Keywords

Cite

@article{arxiv.2204.10730,
  title  = {Rational homology ribbon cobordism is a partial order},
  author = {Stefan Friedl and Filip Misev and Raphael Zentner},
  journal= {arXiv preprint arXiv:2204.10730},
  year   = {2025}
}

Comments

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