Grothendieck polynomials and quiver formulas
Combinatorics
2016-09-07 v1 Algebraic Geometry
Abstract
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.
Cite
@article{arxiv.math/0306389,
title = {Grothendieck polynomials and quiver formulas},
author = {Anders Skovsted Buch and Andrew Kresch and Harry Tamvakis and Alexander Yong},
journal= {arXiv preprint arXiv:math/0306389},
year = {2016}
}
Comments
13 pages, LaTeX2e