\(K\)-theoretic Pieri rule via iterated residues (Q2632687)

The authors prove a new formulation of the \(K\)-theoretic Pieri rule regarding multiplication of stable Grothendieck polynomials using iterated residues. They also use theirs method to establish straightening laws to transform Grothendieck polynomials corresponding to general integer sequences to linear combinations of those corresponding to partitions. The introduction is very well written and they lay down the notations in a very clear matter. The proofs involves Young tableau, residue of meromorphic functions, among other notions and techniques. Although the computations and proofs deal with a considerable amount of indexes and have a naturally convoluted writing due to the subject the authors make a very clear exposition and as a result the work is very pleasant to read.