Plane partitions of shifted double staircase shape
Combinatorics
2022-04-25 v2
Abstract
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.
Keywords
Cite
@article{arxiv.2007.05381,
title = {Plane partitions of shifted double staircase shape},
author = {Sam Hopkins and Tri Lai},
journal= {arXiv preprint arXiv:2007.05381},
year = {2022}
}
Comments
27 pages, 13 figures, 1 table; v2: forthcoming, JCTA