3-细胞的显式对称DGLA模型
Explicit symmetric DGLA models of 3-cells
摘要：
给出了3-胞微分分次李代数模型的显式公式。特别地，对于一个立方体和一个具有两个顶点的$n$ -刻面香蕉形3-胞腔，每个顶点的$n$边连接这两个顶点和$n$双边形2-胞腔，我们构造了一个在固定两个对极顶点的胞腔的几何对称下对称的模型.立方体模型是用于在即将进行的工作离散模拟微分几何cubulated流形。
英文摘要：
We give explicit formulae for differential graded Lie algebra (DGLA) models of 3-cells. In particular, for a cube and an $n$-faceted banana-shaped 3-cell with two vertices, $n$ edges each joining those two vertices and $n$ bi-gon 2-cells, we construct a model symmetric under the geometric symmetries of the cell fixing two antipodal vertices. The cube model is to be used in forthcoming work for discrete analogues of differential geometry on cubulated manifolds.
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