Quantum Schubert polynomials for the G2 flag manifold
Files
TR Number
Date
2016
Journal Title
Journal ISSN
Volume Title
Publisher
Abstract
We study some combinatorial objects related to the flag manifold X of Lie type G2. Using the moment graph of X we calculate all the curve neighborhoods for Schubert classes. We use this calculation to investigate the ordinary and quantum cohomology rings of b. As an application, we obtain positive Schubert polynomials for the cohomology ring of X and we find quantum Schubert polynomials which represent Schubert classes in the quantum cohomology ring of X.