Filling Links and Essential Systole
Christopher J. Leininger, Yandi Wu
TL;DR
This paper constructs hyperbolic filling links with large essential systole in any closed, orientable 3-manifold, addressing a question in geometric topology and contrasting previous constraints.
Contribution
It provides a method to produce filling links with large essential systole in any closed, orientable 3-manifold, answering a specific open question.
Findings
Constructed hyperbolic filling links with large essential systole
Applicable to any closed, orientable 3-manifold
Contrasts earlier geometric constraints on hyperbolic links
Abstract
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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Taxonomy
TopicsGeometric and Algebraic Topology · Mathematical Dynamics and Fractals · Advanced Combinatorial Mathematics