This research produces filling links in orientable 3-manifolds, highlighting geometric constraints and systole size.
We answer a question of Freedman and Krushkal, producing filling links in any closed, orientable 3-manifold. The links we construct are hyperbolic, and have large essential systole, contrasting earlier geometric constraints on hyperbolic links in 3-manifolds due to Adams-Reid and Lakeland-Leininger.
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Leininger et al. (2025) studied this question.
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