环面卡拉比-丘曲面的镜像映射等于SYZ映射
辛几何
2014-02-26 v2 代数几何
摘要
我们证明了对每个环面卡拉比-丘曲面，镜像映射就是SYZ映射。由此得到了镜像映射的枚举意义。这涉及计算亏格零的开Gromov-Witten不变量，通过紧化将其与闭Gromov-Witten不变量联系起来，并利用Bryan-Leung的早期计算结果来完成。
引用
@article{arxiv.1008.4753,
title = {Mirror maps equal SYZ maps for toric Calabi-Yau surfaces},
author = {Siu-Cheong Lau and Naichung Conan Leung and Baosen Wu},
journal= {arXiv preprint arXiv:1008.4753},
year = {2014}
}
备注
v2: final version, typos and citations corrected, published in Bull. London Math. Soc. (2011) doi: 10.1112/blms/bdr090