Abstract
Fulton and Woodward have recently identified the smallest degree of q that appears in the expansion of the product of two Schubert classes in the (small) quantum cohomology ring of a Grassmannian. We present a combinatorial proof of this result, and provide an alternative characterization of this smallest degree in terms of the rim hook formula for the quantum product.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 2649-2655 |
| Number of pages | 7 |
| Journal | Proceedings of the American Mathematical Society |
| Volume | 131 |
| Issue number | 9 |
| DOIs | |
| State | Published - Sep 2003 |
| Externally published | Yes |
Keywords
- Grassmannian
- Gromov-Witten invariants
- Quantum cohomology
- Schubert calculus
ASJC Scopus subject areas
- Mathematics(all)
- Applied Mathematics