On a conjectured formula for quiver varieties
| dc.creator | Buch, Anders S. | |
| dc.date | 1999-09-15 | |
| dc.date.accessioned | 2026-07-07T05:30:47Z | |
| dc.date.available | 2026-07-07T05:30:47Z | |
| dc.description | In our joint paper with W. Fulton (math.AG/9804041) we prove a formula for the cohomology class of a quiver variety. This formula involves a new class of generalized Littlewood-Richardson coefficients, all of which surprisingly seem to be non-negative. We conjecture that each of these coefficients count the number of sequences of semistandard Young tableaux which satisfy certain conditions. In this paper I give a proof of this conjecture in the special case where the quiver variety can be described by at most four vector bundles. I also prove that the general conjecture follows from a simple combinatorial statement for which substantial computer verification has been obtained. | |
| dc.description | 19 pages, rich supply of figures. This is half of my thesis, "Combinatorics of degeneracy loci" | |
| dc.identifier | https://arxiv.org/abs/math/9909089 | |
| dc.identifier | http://arxiv.org/abs/math/9909089 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/79108 | |
| dc.subject | Combinatorics | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 05E05 (Primary) 14M12, 05E10 (Secondary) | |
| dc.title | On a conjectured formula for quiver varieties | |
| dc.type | text |