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.
Friedl, Stefan  1 ; Misev, Filip  1 ; Zentner, Raphael  1
@article{10_2140_agt_2025_25_245,
author = {Friedl, Stefan and Misev, Filip and Zentner, Raphael},
title = {Rational homology ribbon cobordism is a partial order},
journal = {Algebraic and Geometric Topology},
pages = {245--253},
year = {2025},
volume = {25},
number = {1},
doi = {10.2140/agt.2025.25.245},
url = {http://geodesic.mathdoc.fr/articles/10.2140/agt.2025.25.245/}
}
TY - JOUR AU - Friedl, Stefan AU - Misev, Filip AU - Zentner, Raphael TI - Rational homology ribbon cobordism is a partial order JO - Algebraic and Geometric Topology PY - 2025 SP - 245 EP - 253 VL - 25 IS - 1 UR - http://geodesic.mathdoc.fr/articles/10.2140/agt.2025.25.245/ DO - 10.2140/agt.2025.25.245 ID - 10_2140_agt_2025_25_245 ER -
%0 Journal Article %A Friedl, Stefan %A Misev, Filip %A Zentner, Raphael %T Rational homology ribbon cobordism is a partial order %J Algebraic and Geometric Topology %D 2025 %P 245-253 %V 25 %N 1 %U http://geodesic.mathdoc.fr/articles/10.2140/agt.2025.25.245/ %R 10.2140/agt.2025.25.245 %F 10_2140_agt_2025_25_245
Friedl, Stefan; Misev, Filip; Zentner, Raphael. Rational homology ribbon cobordism is a partial order. Algebraic and Geometric Topology, Tome 25 (2025) no. 1, pp. 245-253. doi: 10.2140/agt.2025.25.245
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