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摘要翻译：
设G是群A_4或Z_2xZ_2。本文在具有单群群G的P^1的4次复盖曲线的Hurwitz轨迹H_g\子集M_g上计算了λ_g的积分。我们计算了这些积分的母函数，并将它们分别写成E_6和D_4根系的正根求和的三角表达式。作为应用，我们证明了轨道[C^3/A_4]和[C^3/(Z_2xZ_2)]的CRIPAN分辨猜想。
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英文标题：
《Hurwitz-Hodge Integrals, the E6 and D4 root systems, and the Crepant
Resolution Conjecture》
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作者：
Jim Bryan and Amin Gholampour
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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：
Let G be the group A_4 or Z_2xZ_2. We compute the integral of \lambda_g on the Hurwitz locus H_G\subset M_g of curves admitting a degree 4 cover of P^1 having monodromy group G. We compute the generating functions for these integrals and write them as a trigonometric expression summed over the positive roots of the E_6 and D_4 root systems respectively. As an application, we prove the Crepant Resolution Conjecture for the orbifolds [C^3/A_4] and [C^3/(Z_2xZ_2)].
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PDF链接：
https://arxiv.org/pdf/0708.4244
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