54 citations · 240 across the 41 of their papers we have counts for
41 papers
Higher rank elliptic partition functions and multisymmetric elliptic functions
Allan John Gerrard, Kohei Motegi, Kazumitsu Sakai
We introduce and investigate a class of partition functions which is an extension of the one introduced by Foda-Manabe. We characterize the partition function…
Factorization of rational six vertex model partition functions
Kohei Motegi
We show factorization formulas for a class of partition functions of rational six vertex model. First we show factorization formulas for partition functions under triangular bounda…
Free-fermions and canonical Grothendieck polynomials
Shinsuke Iwao, Kohei Motegi, Travis Scrimshaw
We give a presentation of refined (dual) canonical Grothendieck polynomials and their skew versions using free-fermions. Using this, we derive a number of identities, including the…
Yang-Baxter algebra, higher rank partition functions and -theoretic Gysin map for partial flag bundles
Kohei Motegi
We investigate the -theoretic Gysin map for type partial flag bundles from the viewpoint of integrability. We introduce several types of partition functions for one version…
Refined dual Grothendieck polynomials, integrability, and the Schur measure
Kohei Motegi, Travis Scrimshaw
We construct a vertex model whose partition function is a refined dual Grothendieck polynomial, where the states are interpreted as nonintersecting lattice paths. Using this, we sh…
Integrable models and -theoretic pushforward of Grothendieck classes
Kohei Motegi
We show that a multiple commutation relation of the Yang-Baxter algebra of integrable lattice models derived by Shigechi and Uchiyama can be used to connect two types of Grothendie…