双上循环给出了最简单的3- 3关系的完全非线性参数化
Two-cocycles give a full nonlinear parameterization of the simplest 3--3 relation
摘要：
提出了对应于Pachner移动3- 3的Grassmann代数关系的参数化。在这些关系中，每个4-单形被分配一个格拉斯曼权重，取决于与其3-面相关联的五个反交换变量。权重被选择为具有“最简单”的形式-格拉斯曼-高斯指数或其类似物（满足类似的微分方程系统）。我们的参数化工程Zagliki开集的这种关系，看起来相关的代数拓扑的观点，并揭示了有趣的非线性关系对象与不同维度的单纯形。
英文摘要：
A parameterization of Grassmann-algebraic relations corresponding to the Pachner move 3--3 is proposed. In these relations, each 4-simplex is assigned a Grassmann weight depending on five anticommuting variables associated with its 3-faces. The weights are chosen to have the "simplest" form - a Grassmann--Gaussian exponent or its analogue (satisfying a similar system of differential equations). Our parameterization works for a Zariski open set of such relations, looks relevant from the algebraic-topological viewpoint, and reveals intriguing nonlinear relations between objects associated with simplices of different dimensions.
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