In quantum cohomology of the complete flag variety, the special Schubert class acts as a cyclic permutation operator with a quantum monomial weight, and the same is conjectured for quantum K-theory.
On the finiteness of quantum K-theory of a homogeneous space , Int Math Res Not, 2022, 1313-1349
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Toward quantum Pieri rule for $F\ell_n$ via Seidel representation
In quantum cohomology of the complete flag variety, the special Schubert class acts as a cyclic permutation operator with a quantum monomial weight, and the same is conjectured for quantum K-theory.