$S^1$-fixed-points in hyper-Quot-schemes and an exact mirror formula for flag manifolds from the extended mirror principle diagram

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In L-L-Y1, III: Sec. 5.4 on mirror principle, a method was developed to compute the integral $\int {X}\tau^{\ast}e^{H\cdot t}\cap {\mathbf 1} d$ for a flag manifold $X=\Fl {r 1, ., r I}({\Bbb C}^n)$ via an extended mirror principle diagram. This method turns the required localization computation on the augmented moduli stack %

Author: Chien-Hao Liu; Kefeng Liu; Shing-Tung Yau

Source: https://archive.org/