Excited Young diagrams and equivariant Schubert calculus
| dc.creator | Ikeda, Takeshi | |
| dc.creator | Naruse, Hiroshi | |
| dc.date | 2007-03-21 | |
| dc.date.accessioned | 2026-07-07T07:53:06Z | |
| dc.date.available | 2026-07-07T07:53:06Z | |
| dc.description | We describe the torus-equivariant cohomology ring of isotropic Grassmannians by using a localization map to the torus fixed points. We present two types of formulas for equivariant Schubert classes of these homogeneous spaces. The first formula involves combinatorial objects which we call ``excited Young diagrams'' and the second one is written in terms of factorial Schur $Q$- or $P$-functions. As an application, we give a Giambelli-type formula for the equivariant Schubert classes. We also give combinatorial and Pfaffian formulas for the multiplicity of a singular point in a Schubert variety. | |
| dc.description | 29 pages | |
| dc.identifier | https://arxiv.org/abs/math/0703637 | |
| dc.identifier | http://arxiv.org/abs/math/0703637 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/126125 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Combinatorics | |
| dc.title | Excited Young diagrams and equivariant Schubert calculus | |
| dc.type | text |