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摘要翻译：
本文将稳定映射的模空间上的某些两点积分计算到射影空间中。这些积分的一点类似计算构成射影超曲面的亏零一点Gromov-Witten不变量的镜像对称性的证明。本文计算的积分在另一篇论文中完成的亏格一GW-不变量的镜像对称性证明中占有重要的部分。这些积分还提供了射影超曲面亏格-零两点GW-不变量的显式镜像公式。本文给出了射影超曲面全亏格零GW-不变量的重建算法。
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英文标题：
《Genus-Zero Two-Point Hyperplane Integrals in the Gromov-Witten Theory》
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作者：
Aleksey Zinger
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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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一级分类：Mathematics 数学
二级分类：Symplectic Geometry 辛几何
分类描述：Hamiltonian systems, symplectic flows, classical integrable systems
哈密顿系统，辛流，经典可积系统
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英文摘要：
In this paper we compute certain two-point integrals over a moduli space of stable maps into projective space. Computation of one-point analogues of these integrals constitutes a proof of mirror symmetry for genus-zero one-point Gromov-Witten invariants of projective hypersurfaces. The integrals computed in this paper constitute a significant portion in the proof of mirror symmetry for genus-one GW-invariants completed in a separate paper. These integrals also provide explicit mirror formulas for genus-zero two-point GW-invariants of projective hypersurfaces. The approach described in this paper leads to a reconstruction algorithm for all genus-zero GW-invariants of projective hypersurfaces.
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PDF链接：
https://arxiv.org/pdf/0705.2725
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