5 papers
Minuscule Relations in Quantum -Theory of Flag Varieties
Koushik Brahma, Yicen Huang, Takeshi Ikeda +2
We study the quantum -theory of the flag variety . For each minuscule fundamental weight , we construct an explicit relation in the torus-equivariant quantum -th…
Relativistic Toda lattice of type B and quantum -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 -theory of type C flag variety. We prove that its conserved quantities coincide with the…
Seidel product formula in equivariant quantum -theory of flag varieties
Takeshi Ikeda, Takafumi Kouno, Satoshi Naito
We prove a Seidel product formula for the torus-equivariant quantum -theory of a generalized flag variety This is a natural generalization of the corresponding results by…
Quantum -theoretic Whitney relations for type flag manifolds
Takafumi Kouno
We study relations of -classes associated to tautological bundles over the flag manifold of type in the quantum -ring. These relations are called the quantum -theo…
Quantum -theory of Lagrangian Grassmannian via parabolic Peterson isomorphism
Takeshi Ikeda, Takafumi Kouno, Yusuke Nakayama +1
We study Schubert calculus in the torus-equivariant quantum -ring of the Lagrangian Grassmannian . Our main tool is the -theoretic Peterson map due to Kato. T…