Analysis shows a generalization of the slice-ribbon conjecture holds for quasi-alternating 3-braid links, indicating progress on rational homology ball bounds.
We determine which integral surgeries on a large class of circular chain links bound rational homology balls. Our key tool is the lattice-theoretic cubiquity obstruction recently developed by Greene and Owens [Alternating links, rational balls, and cube tilings, 2022]. We discuss a practical method of computing it, and, as an application, prove that a generalisation of the slice–ribbon conjecture holds for all but one infinite family of quasi-alternating 3-braid links, which extends previous results of Lisca concerning the conjecture for 3-braid knots.
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Brejevs et al. (2025) studied this question.
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