Work

Grothendieck polynomials and quiver formulas

Year: 2003

Type: preprint

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 Schützenberger.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.math/0306389

Authors: Buch, Anders Skovsted, Kresch, Andrew, Tamvakis, Harry, Yong, Alexander

Institutions: Aarhus University, University of Warwick, Brandeis University, University of California, Berkeley

Language: English

Topic: Advanced Combinatorial Mathematics

Subfield: Discrete Mathematics and Combinatorics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W2952016293

Cites: 6

Cited by: 2

Related to: 10