Shinsuke Iwao

collaborators

5 papers

math.RT2026

Relativistic Toda Lattice and Equivariant $K$ -Homology of Affine Grassmannian

Takeshi Ikeda, Shinsuke Iwao, Satoshi Naito +1

We investigate the phenomenon known as ''quantum equals affine'' in the setting of $T$ -equivariant quantum $K$ -theory of the flag variety $G / B$ , as established by Kato for any semi…

math.RT2026

Relativistic Toda lattice of type B and quantum $K$ -theory of type C flag variety

Takeshi Ikeda, Shinsuke Iwao, Takafumi Kouno +2

We introduce a classical integrable system associated with the torus-equivariant quantum $K$ -theory of type C flag variety. We prove that its conserved quantities coincide with the…

math.CO2026

Neutral-Fermion constructions of factorial $g p$ -and $g q$ -Functions

Koushik Brahma, Takeshi Ikeda, Shinsuke Iwao +1

We develop neutral-fermionic constructions for the factorial $g p$ -and $g q$ -functions introduced by Nakagawa and Naruse, which are respectively dual to the factorial $GQ$ - and $GP$ -…

math.RT2025

Equivariant homology of the symplectic affine Grassmannian and dual affine Schur $P$ -functions

Takeshi Ikeda, Shinsuke Iwao, Mark Shimozono

We study the torus-equivariant homology $H_{*}^{T} (Gr_{G})$ of the affine Grassmannian $Gr_{G}$ , where $G = Sp_{2 n} (C)$ is the symplectic group. This homo…

math.CO2025

An elementary construction of the ring of dual $K$ - $Q$ -cancellation property

Shinsuke Iwao

This paper presents an elementary introduction on $K$ -theoretic $Q$ -functions, which were introduced by Ikeda and Naruse in 2013. These functions, which serve as $K$ -theoretic anal…

Relativistic Toda Lattice and Equivariant K-Homology of Affine Grassmannian

Relativistic Toda lattice of type B and quantum K-theory of type C flag variety

Neutral-Fermion constructions of factorial gp-and gq-Functions

Equivariant homology of the symplectic affine Grassmannian and dual affine Schur P-functions

An elementary construction of the ring of dual K-Q-cancellation property

Relativistic Toda Lattice and Equivariant $K$ -Homology of Affine Grassmannian

Relativistic Toda lattice of type B and quantum $K$ -theory of type C flag variety

Neutral-Fermion constructions of factorial $g p$ -and $g q$ -Functions

Equivariant homology of the symplectic affine Grassmannian and dual affine Schur $P$ -functions

An elementary construction of the ring of dual $K$ - $Q$ -cancellation property