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- Title
GROTHENDIECK POLYNOMIALS AND QUIVER FORMULAS.
- Authors
Buch, Anders S.; Kresch, Andrew; Tamvakis, Harry; Yong, Alexander
- 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.
- Subjects
POLYNOMIALS; GROTHENDIECK groups; SHEAF theory; ALGEBRAIC topology; BINOMIAL coefficients; MATHEMATICAL formulas; LOCUS (Mathematics)
- Publication
American Journal of Mathematics, 2005, Vol 127, Issue 3, p551
- ISSN
0002-9327
- Publication type
Article
- DOI
10.1353/ajm.2005.0017