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書目詳細資料
Main Authors: Ibarra, Dionne, Mathews, Daniel V., Purcell, Jessica S., Spreer, Jonathan
格式: Preprint
出版: 2024
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在線閱讀:https://arxiv.org/abs/2411.18938
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書本目錄:
  • 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.