This project studies positivity questions for structure constants appearing in product expansions of quantum double Schubert polynomials. The guiding question is when these coefficients can be interpreted as polynomials with nonnegative integer coefficients in equivariant and quantum parameters.
这个项目研究量子双 Schubert 多项式乘积展开中结构常数的正性问题。核心问题是: 这些系数何时可以表示为关于等变参数和量子参数的非负整系数多项式。
The work connects Schubert calculus, equivariant quantum cohomology of flag varieties, and Gromov-Witten invariants. This public page intentionally keeps the description at a high level because the detailed manuscript is not public.
项目涉及 Schubert 演算、旗流形的等变量子上同调以及 Gromov-Witten 不变量等内容。 由于详细稿件尚未公开,这里只保留面向主页展示的高层次摘要。
Keywords关键词
Schubert calculus, quantum double Schubert polynomials, positivity, equivariant quantum cohomology, Gromov-Witten invariants.