15 citations · 87 across the 23 of their papers we have counts for
23 papers
On flagged -theoretic symmetric polynomials
Shinsuke Iwao
We provide a fermionic description of flagged skew Grothendieck polynomials, which can be seen as a -theoretic counterpart of flagged skew Schur polynomials. Our proof relies on…
Generating functions of dual -theoretic - and -functions and boson-fermion correspondence
Shinsuke Iwao
In this paper, we present a new algebraic description of Ikeda-Naruse's -theoretic Schur - and -functions and their dual functions in terms of neutral fermion operators. W…
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…
Closed -Schur Katalan functions as -homology Schubert representatives of the affine Grassmannian
Takeshi Ikeda, Shinsuke Iwao, Satoshi Naito
Recently, Blasiak-Morse-Seelinger introduced symmetric functions called Katalan functions, and proved that the -theoretic -Schur functions due to Lam-Schilling-Shimozono form…
Free fermions and Schur expansions of multi-Schur functions
Shinsuke Iwao
Multi-Schur functions are symmetric functions that generalize the supersymmetric Schur functions, the flagged Schur functions, and the refined dual Grothendieck functions, which ha…
Free-fermions and skew stable Grothendieck polynomials
Shinsuke Iwao
Skew stable Grothendieck polynomials are -theoretic analogues of skew Schur polynomials. We give a free-fermionic presentation of skew stable Grothendieck polynomials and their…