Positivity of quiver coefficients through Thom polynomials
| dc.creator | Buch, A. S. | |
| dc.creator | Feher, L. M. | |
| dc.creator | Rimanyi, R. | |
| dc.date | 2003-11-12 | |
| dc.date.accessioned | 2026-07-07T05:02:50Z | |
| dc.date.available | 2026-07-07T05:02:50Z | |
| dc.description | Let r be an orbit of the quiver representation of type A_n (equioriented case). In this paper we study the Poincare dual of the closure of r (a.c.a. Thom polynomial/degeneracy loci formula) in equivariant cohomology. Using general Thom polynomial theory we prove the component formula and its stable version of [Knutson-Miller-Shimozono] as well as the positivity of the quiver coefficients of [Buch-Fulton]. We also show how the component formula follows from Grobner degeneration easily. In relation with the K-theory counterpart of the formula we give a new description of KMS factorizations based on transformations of lace diagrams. | |
| dc.description | 12 pages | |
| dc.identifier | https://arxiv.org/abs/math/0311203 | |
| dc.identifier | http://arxiv.org/abs/math/0311203 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/69169 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 14N10; 57R45, 05E15 | |
| dc.title | Positivity of quiver coefficients through Thom polynomials | |
| dc.type | text |