Quantum K-theory Chevalley formulas in the parabolic case

We derive cancellation-free Chevalley-type multiplication formulas for the T-equivariant quantum K-theory ring of Grassmannians of type A and C, and also those of two-step flag manifolds of type A. They are obtained based on the uniform Chevalley formula in the T-equivariant quantum Ktheory ring of arbitrary flag manifolds G/B, which was derived earlier in terms of the quantum alcove model, by the last three authors. (c) 2024 The Authors. Published by Elsevier Inc. This is an open access article under the CC BY-NC-ND license (http://creativecommons .org /licenses /by -nc -nd /4 .0/).