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Title: Residues, Grothendieck Polynomials, and K-Theoretic Thom Polynomials
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.  more » « less
Award ID(s):
2152309 2200867
NSF-PAR ID:
10429467
Author(s) / Creator(s):
;
Date Published:
Journal Name:
International Mathematics Research Notices
ISSN:
1073-7928
Format(s):
Medium: X
Sponsoring Org:
National Science Foundation
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