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摘要翻译：
在向量空间V上固定一个非退化的双线性形式后，通过取一个标志到它的正交补，定义了V中标志流形F的对合。当V为3维时，我们检验了J.Bryan和T.Graber的Crepant分辨率猜想成立:[F/Z_2]的亏格零（orbifold）Gromov-Witten势函数与商方案F/Z_2的亏格零（orbifold）Gromov-Witten势函数一致（直到不稳定项），使量子参数为-1，变量线性变化，系数解析连续。crepant分辨率Y（Hilbert格式Hilb^2p^2)中的超曲面）是p^2上一个新的秩2向量丛的投影。
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英文标题：
《The Crepant Resolution Conjecture for 3-dimensional flags modulo an
involution》
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作者：
W. D. Gillam
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最新提交年份：
2007
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分类信息：
一级分类：Mathematics 数学
二级分类：Algebraic Geometry 代数几何
分类描述：Algebraic varieties, stacks, sheaves, schemes, moduli spaces, complex geometry, quantum cohomology
代数簇，叠，束，格式，模空间，复几何，量子上同调
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英文摘要：
After fixing a non-degenerate bilinear form on a vector space V we define an involution of the manifold of flags F in V by taking a flag to its orthogonal complement. When V is of dimension 3 we check that the Crepant Resolution Conjecture of J. Bryan and T. Graber holds: the genus zero (orbifold) Gromov-Witten potential function of [F / Z_2] agrees (up to unstable terms) with the genus zero Gromov-Witten potential function of a crepant resolution Y of the quotient scheme F / Z_2, after setting a quantum parameter to -1, making a linear change of variables, and analytically continuing coefficients. The crepant resolution Y (a hypersurface in the Hilbert scheme Hilb^2 P^2) is the projectivization of a novel rank 2 vector bundle over P^2.
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PDF链接：
https://arxiv.org/pdf/0708.0842
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