Mathematics – Combinatorics
Scientific paper
2003-06-27
Amer. J. Math., 127 (2005), 551--567.
Mathematics
Combinatorics
13 pages, LaTeX2e
Scientific paper
Fulton's universal Schubert polynomials give cohomology formulas for a class of degeneracy loci, which generalize Schubert varieties. The K-theoretic quiver formula of Buch expresses the structure sheaves of these loci as integral linear combinations of products of stable Grothendieck polynomials. We prove an explicit combinatorial formula for the coefficients, which shows that they have alternating signs. Our result is applied to obtain new expansions for the Grothendieck polynomials of Lascoux and Sch\"utzenberger.
Buch Anders Skovsted
Kresch Andrew
Tamvakis Harry
Yong Alexander
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