A formula for K-theory truncation Schubert calculus
| dc.creator | Knutson, Allen | |
| dc.creator | Yong, Alexander | |
| dc.date | 2004-07-05 | |
| dc.date.accessioned | 2026-07-07T06:25:57Z | |
| dc.date.available | 2026-07-07T06:25:57Z | |
| dc.description | Define a ``truncation'' $r_{t}(p)$ of a polynomial $p$ in $\{x_1,x_2,x_3,...\}$ as the polynomial with all but the first $t$ variables set to zero. In certain good cases, the truncation of a Schubert or Grothendieck polynomial may again be a Schubert or Grothendieck polynomial. We use this phenomenon to give subtraction-free formulae for certain Schubert structure constants in $K(Flags({\mathbb C}^n))$, in particular generalizing those from [Kogan '00] in which only cohomology was treated, and from [Buch `02] on the Grassmannian case. The terms of the answer are computed using ``marching'' operations on permutation diagrams. | |
| dc.description | 10 pages | |
| dc.identifier | https://arxiv.org/abs/math/0407051 | |
| dc.identifier | http://arxiv.org/abs/math/0407051 | |
| dc.identifier | Intern. Math. Res. Notices (70) 2004, 3741-3756 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/96974 | |
| dc.subject | Combinatorics | |
| dc.subject | Algebraic Geometry | |
| dc.title | A formula for K-theory truncation Schubert calculus | |
| dc.type | text |