The diagonal of the associahedra

N. Masuda, H. Thomas, A. Tonks, B. Vallette
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引用次数: 10

Abstract

This paper introduces a new method to solve the problem of the approximation of the diagonal for face-coherent families of polytopes. We recover the classical cases of the simplices and the cubes and we solve it for the associahedra, also known as Stasheff polytopes. We show that it satisfies an easy-to-state cellular formula. For the first time, we endow a family of realizations of the associahedra (the Loday realizations) with a topological and cellular operad structure; it is shown to be compatible with the diagonal maps.
共轭面体的对角线
本文介绍了一种求解面相干多面体族对角线逼近问题的新方法。我们恢复了简单体和立方体的经典情况我们解出了共轭面体,也就是Stasheff多面体。我们证明它满足一个易状态的元胞公式。我们第一次赋予关联体的一组实现(Loday实现)以拓扑和细胞操作结构;它被证明是与对角映射兼容的。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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