@article{CTT100931683, author = {Toshiaki Maeno and Satoshi Naito and Daisuke Sagaki}, title = {A presentation of the torus-equivariant quantum K-theory ring of flag manifolds of type A, Part I: The defining ideal}, journal = {Journal of the London Mathematical Society}, year = 2025, } @article{CTT100931682, author = {Toshiaki Maeno and Satoshi Naito and Daisuke Sagaki}, title = {A presentation of the torus-equivariant quantum K-theory ring of flag manifolds of type A, Part II: quantum double Grothendieck polynomials}, journal = {Forum of Mathematics, Sigma}, year = 2025, }