论文标题
量子共同学的仿射对称性:校正和新结果
Affine symmetries in quantum cohomology: corrections and new results
论文作者
论文摘要
在以前的论文仿射合理均匀空间的模棱两可的量子共同体中,在任何同质空间的量子共同体中,给出了一些特殊的舒伯特类乘法的通用公式。尽管此公式在非eproivariant设置中是正确的,但规定的eproivariant版本是错误的。我们提供对模棱两可公式的更正,从而为非均衡公式提供了正确的论点。我们还在仿生史氏菌的同源性中提供了新的公式,这可能会导致Pieri型配方。
In a previous paper Affine symmetries of the equivariant quantum cohomology of rational homogeneous spaces, a general formula was given for the multiplication by some special Schubert classes in the quantum cohomology of any homogeneous space. Although this formula is correct in the non equivariant setting, the stated equivariant version was wrong. We provide corrections for the equivariant formula, thus giving a correct argument for the non equivariant formula. We also give new formulas in the equivariant homology of the affine grassmannian that could lead to Pieri type formulas.