论文标题
彼得森比较的仿射方法
An affine approach to Peterson comparison
论文作者
论文摘要
伍德沃德（Woodward）证明的彼得森比较公式将部分旗帜品种的量子共同体组合的三角格罗莫夫（Gromov-witten）不变性与完整旗帜的量子共同。可以通过撰写Peterson同构的组合版本，与Lapointe和Morse组合组合版本，从而通过添加Rim Hooks添加Rim Hooks获得了Axpine Grassmannian的同源性中的Grassmannian的量子Littlewood-Richardson系数。我们表明，这些关于量子共同体学的比较是等效的，这是尼科夫的奇怪二元性同构。
The Peterson comparison formula proved by Woodward relates the three-pointed Gromov-Witten invariants for the quantum cohomology of partial flag varieties to those for the complete flag. Another such comparison can be obtained by composing a combinatorial version of the Peterson isomorphism with a result of Lapointe and Morse relating quantum Littlewood-Richardson coefficients for the Grassmannian to k-Schur analogs in the homology of the affine Grassmannian obtained by adding rim hooks. We show that these comparisons on quantum cohomology are equivalent, up to Postnikov's strange duality isomorphism.
