Filling Links and Essential Systole
Geometric Topology
2025-05-05 v1 Group Theory
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.
Cite
@article{arxiv.2505.00896,
title = {Filling Links and Essential Systole},
author = {Christopher J. Leininger and Yandi Wu},
journal= {arXiv preprint arXiv:2505.00896},
year = {2025}
}
Comments
20 pages, 8 figures. Comments welcome