Minimum quantum degrees with Maya diagrams
Algebraic Geometry
2025-02-21 v4
Abstract
We use Maya diagrams to refine the criterion by Fulton and Woodward for the smallest powers of the quantum parameter that occur in a product of Schubert classes in the (small) quantum cohomology of partial flags. Our approach using Maya diagrams yields a combinatorial proof that the minimal quantum degrees are unique for partial flags. Furthermore, visual combinatorial rules are given to perform precise calculations.
Keywords
Cite
@article{arxiv.2201.03124,
title = {Minimum quantum degrees with Maya diagrams},
author = {Ryan M. Shifler},
journal= {arXiv preprint arXiv:2201.03124},
year = {2025}
}