Triangulations of the 3-sphere with knotted edge

Autor:	Ibarra, Dionne, Mathews, Daniel V., Purcell, Jessica S., Spreer, Jonathan
Rok vydání:	2024
Předmět:	Mathematics - Geometric Topology Primary: 57Q15. Secondary: 57K32 57K31 57K10 57Q70
Druh dokumentu:	Working Paper
Popis:	We prove that for any knot $K$, there exists a one-vertex triangulation of the $3$-sphere containing an edge forming $K$. The proof is constructive, and based on fully augmented links. We use our method to produce ``complicated'' simplicial triangulations of the $3$-sphere that we show are smallest possible, up to a constant multiplicative factor. Comment: 19 pages, 13 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2411.18938 Zobrazit plný text záznamu View this record from Arxiv