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  1. ; (, Communications in Mathematical Physics)
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  2. ; (, International Mathematics Research Notices)
    Abstract Grothendieck polynomials were introduced by Lascoux and Schützenberger and play an important role in K-theoretic Schubert calculus. In this paper, we give a new definition of double stable Grothendieck polynomials based on an iterated residue operation. We illustrate the power of our definition by calculating the Grothendieck expansion of K-theoretic Thom polynomials of $${\mathcal {A}}_{2}$$ singularities. We present this expansion in two versions: one displays its stabilization property, while the other displays its expected finiteness property. 
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