Kohei Yamaguchi

collaborators

4 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.RT2024

Equivariant $K$ -homology of affine Grassmannian and $K$ -theoretic double $k$ -Schur functions

Takeshi Ikeda, Mark Shimozono, Kohei Yamaguchi

We study the torus equivariant K-homology ring of the affine Grassmannian $Gr_{G}$ where $G$ is a connected reductive linear algebraic group. In type $A$ , we introduce equiv…

math.AG2024

Quantum $K$ -theory of Lagrangian Grassmannian via parabolic Peterson isomorphism

Takeshi Ikeda, Takafumi Kouno, Yusuke Nakayama +1

We study Schubert calculus in the torus-equivariant quantum $K$ -ring of the Lagrangian Grassmannian $LG (n)$ . Our main tool is the $K$ -theoretic Peterson map due to Kato. T…

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

Equivariant K-homology of affine Grassmannian and K-theoretic double k-Schur functions

Quantum K-theory of Lagrangian Grassmannian via parabolic Peterson isomorphism

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

Equivariant $K$ -homology of affine Grassmannian and $K$ -theoretic double $k$ -Schur functions

Quantum $K$ -theory of Lagrangian Grassmannian via parabolic Peterson isomorphism