The Library
Grothendieck polynomials and quiver formulas
Tools
UNSPECIFIED (2005) Grothendieck polynomials and quiver formulas. AMERICAN JOURNAL OF MATHEMATICS, 127 (3). pp. 551-567. ISSN 0002-9327.
Research output not available from this repository.
Request-a-Copy directly from author or use local Library Get it For Me service.
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 Schutzenberger.
Item Type: | Journal Article | ||||
---|---|---|---|---|---|
Subjects: | Q Science > QA Mathematics | ||||
Journal or Publication Title: | AMERICAN JOURNAL OF MATHEMATICS | ||||
Publisher: | JOHNS HOPKINS UNIV PRESS | ||||
ISSN: | 0002-9327 | ||||
Official Date: | June 2005 | ||||
Dates: |
|
||||
Volume: | 127 | ||||
Number: | 3 | ||||
Number of Pages: | 17 | ||||
Page Range: | pp. 551-567 | ||||
Publication Status: | Published |
Data sourced from Thomson Reuters' Web of Knowledge
Request changes or add full text files to a record
Repository staff actions (login required)
View Item |