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Rational homology ribbon cobordism is a partial order

Stefan Friedl, Filip Misev and Raphael Zentner
Algebraic & Geometric Topology 25 (2025) 245–253
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.

Keywords
ribbon cobordism, ribbon homology, representation varieties, 3-manifolds
Mathematical Subject Classification
Primary: 57K10, 57K31, 57K40
References
Publication
Received: 1 December 2022
Revised: 26 August 2023
Accepted: 27 November 2023
Published: 5 March 2025
Authors
Stefan Friedl
Fakultät für Mathematik
Universität Regensburg
Regensburg
Germany
Filip Misev
Fakultät für Mathematik
Universität Regensburg
Regensburg
Germany
Raphael Zentner
Fakultät für Mathematik
Universität Regensburg
Regensburg
Germany
© 2025 The Author(s), under exclusive license to MSP (Mathematical Sciences Publishers). Distributed under the Creative Commons Attribution License 4.0 (CC BY).

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