Contents Online
Mathematical Research Letters
Volume 30 (2023)
Number 5
Ribbon cobordisms as a partial order
Pages: 1511 – 1519
DOI: https://dx.doi.org/10.4310/MRL.2023.v30.n5.a8
Author
Abstract
We show that the notion of ribbon rational homology cobordism yields a partial order on the set of aspherical 3‑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.
Received 8 December 2022
Received revised 25 April 2023
Accepted 6 May 2023
Published 14 May 2024