论文标题

球形的产品杂志和球体的三角形

Product-Coproduct Prographs and Triangulations of the Sphere

论文作者

Borie, Nicolas, Falque, Justine

论文摘要

在本文中,我们解释了涉及路径,tableaux,三角剖分,括号配置的经典加泰罗尼亚对象家族如何在三维版本上更具概括性。特别是,我们将产品杂志呈现为中心对象,解释了球体三角形的组合。然后,我们揭露了一种自然的方式,将塔玛里晶格扩展到产品杂志的杂志。

In this paper, we explain how the classical Catalan families of objects involving paths, tableaux, triangulations, parentheses configurations and more generalize canonically to a three-dimensional version. In particular, we present product-coproduct prographs as central objects explaining the combinatorics of the triangulations of the sphere. Then we expose a natural way to extend the Tamari lattice to the product-coproduct prographs.

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