Search Results for author: Fiona Abney-McPeek

Found 2 papers, 0 papers with code

The Stembridge Equality for Skew Stable Grothendieck Polynomials and Skew Dual Stable Grothendieck Polynomials

no code implementations9 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

Ehrhart-Equivalence, Equidecomposability, and Unimodular Equivalence of Integral Polytopes

no code implementations21 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

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