论文标题

移动双楼梯形状的飞机隔板

Plane partitions of shifted double staircase shape

论文作者

Hopkins, Sam, Lai, Tri

论文摘要

我们为带有有限条目的移位双楼梯形状的移位平面分区的数量提供了产品公式。这是多年来具有平面分区产品公式的形状系列的第一个新例子。证据基于块状瓷砖理论。具体而言,我们应用了由于CIUCU引起的“自由边界” kuo凝结。

We give a product formula for the number of shifted plane partitions of shifted double staircase shape with bounded entries. This is the first new example of a family of shapes with a plane partition product formula in many years. The proof is based on the theory of lozenge tilings; specifically, we apply the "free boundary" Kuo condensation due to Ciucu.

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