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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-ph2022
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…