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Local mirror symmetry: calculations and interpretations

Shing-Tung Yau Albrecht Klemm S-T Yau Eric Zaslow

Mathematical Physics mathscidoc:1912.43479

arXiv preprint hep-th/9903053, 1999.3
We describe local mirror symmetry from a mathematical point of view and make several A-model calculations using the mirror principle (localization). Our results agree with B-model computations from solutions of Picard-Fuchs differential equations constructed form the local geometry near a Fano surface within a Calabi-Yau manifold. We interpret the Gromov-Witten-type numbers from an enumerative point of view. We also describe the geometry of singular surfaces and show how the local invariants of singular surfaces agree with the smooth cases when they occur as complete intersections.
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@inproceedings{shing-tung1999local,
  title={Local mirror symmetry: calculations and interpretations},
  author={Shing-Tung Yau, Albrecht Klemm, S-T Yau, and Eric Zaslow},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191224203519459129043},
  booktitle={arXiv preprint hep-th/9903053},
  year={1999},
}
Shing-Tung Yau, Albrecht Klemm, S-T Yau, and Eric Zaslow. Local mirror symmetry: calculations and interpretations. 1999. In arXiv preprint hep-th/9903053. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191224203519459129043.
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