Tiling generating functions of halved hexagons and quartered hexagons
Combinatorics
2022-01-25 v2
Abstract
We prove exact product formulas for the tiling generating functions of various halved hexagons and quartered hexagons with defects on boundary. Our results generalize the previous work of the first author and the work of Ciucu.
Keywords
Cite
@article{arxiv.2006.11806,
title = {Tiling generating functions of halved hexagons and quartered hexagons},
author = {Tri Lai and Ranjan Rohatgi},
journal= {arXiv preprint arXiv:2006.11806},
year = {2022}
}
Comments
30 pages. V2: Fixed typos in Theorem 2.2 and Theorem 2.4