A note on quantum products of Schubert classes in a Grassmannian |
| |
Authors: | Dave Anderson |
| |
Affiliation: | (1) Department of Mathematics, University of Michigan, Ann Arbor, MI 48109, USA |
| |
Abstract: | Given two Schubert classes σλ and σμ in the quantum cohomology of a Grassmannian, we construct a partition ν, depending on λ and μ, such that σν appears with coefficient 1 in the lowest (or highest) degree part of the quantum product σλ⋆σμ. To do this, we show that for any two partitions λ and μ, contained in a k × (n − k) rectangle and such that the 180∘-rotation of one does not overlap the other, there is a third partition ν, also contained in the rectangle, such that the Littlewood-Richardson number c λμ ν is 1. |
| |
Keywords: | Quantum cohomology Toric tableau Littlewood-Richardson number |
本文献已被 SpringerLink 等数据库收录! |
|