54 citations · 240 across the 41 of their papers we have counts for
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math.CO2022
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…
math.CO2020★ 11 cited
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…
math.CO2019★ 7 cited
Integrability approach to Feher-Nemethi-Rimanyi-Guo-Sun type identities for factorial Grothendieck polynomials
Kohei Motegi
Recently, Guo and Sun derived an identity for factorial Grothendieck polynomials which is a generalization of the one for Schur polynomials by Fehér, Némethi and Rimányi. We analyz…