no code implementations • 9 Feb 2021 • Fiona Abney-McPeek, Serena An, Jakin Ng
The stable Grothendieck polynomials $G_{\lambda}$, and the dual stable Grothendieck polynomials $g_{\lambda}$, developed by Buch, Lam, and Pylyavskyy, are variants of the Schur polynomials and describe the $K$-theory of the Grassmannians.
Combinatorics 05E05
no code implementations • 21 Jan 2021 • Fiona Abney-McPeek, Sanket Biswas, Senjuti Dutta, Yongyuan Huang, Deyuan Li, Nancy Xu
In this paper, we establish a relationship between Ehrhart-equivalence and other forms of equivalence: the $\operatorname{GL}_n(\mathbb{Z})$-equidecomposability and unimodular equivalence of two integral $n$-polytopes in $\mathbb{R}^n$.
Combinatorics