Takafumi Kouno

activity

20242026

collaborators

4 papers

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.AG2026

Seidel product formula in equivariant quantum $K$ -theory of flag varieties

Takeshi Ikeda, Takafumi Kouno, Satoshi Naito

We prove a Seidel product formula for the torus-equivariant quantum $K$ -theory of a generalized flag variety $G / P .$ This is a natural generalization of the corresponding results by…

math.QA2025

Quantum $K$ -theoretic Whitney relations for type $C$ flag manifolds

Takafumi Kouno

We study relations of $I^»_{y}$ -classes associated to tautological bundles over the flag manifold of type $C$ in the quantum $K$ -ring. These relations are called the quantum $K$ -the…

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 of type B and quantum K-theory of type C flag variety

Seidel product formula in equivariant quantum K-theory of flag varieties

Quantum K-theoretic Whitney relations for type C flag manifolds

Quantum K-theory of Lagrangian Grassmannian via parabolic Peterson isomorphism

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

Seidel product formula in equivariant quantum $K$ -theory of flag varieties

Quantum $K$ -theoretic Whitney relations for type $C$ flag manifolds

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