辛与奇正交格拉斯曼流形的双 Grothendieck 多项式
组合数学
2022-04-05 v1 代数几何
摘要
我们研究了 Kirillov--Naruse 关于辛与奇正交格拉斯曼流形的双 Grothendieck 多项式。这些函数被显式写为 Pfaffian 之和，并被确定为这些各向同性格拉斯曼流形的环面等变连通 K-理论中 Schubert 簇基本类的稳定极限。我们还给出了由双 Grothendieck 多项式形式张成的环的组合描述。
引用
@article{arxiv.1809.07932,
title = {Double Grothendieck Polynomials for Symplectic and Odd Orthogonal Grassmannians},
author = {Thomas Hudson and Takeshi Ikeda and Tomoo Matsumura and Hiroshi Naruse},
journal= {arXiv preprint arXiv:1809.07932},
year = {2022}
}
备注
This article was originally a part of our previous paper [arXiv:1504.02828]. It was separated from its published version and became an independent paper