A Mirror Theorem for the Mirror Quintic

Yuan-Pin Lee Department of Mathematics, University of Utah, Salt Lake City, Utah, 84112 Mark Shoemaker Department of Mathematics, University of Utah, Salt Lake City, Utah, 84112

Algebraic Geometry mathscidoc:2204.45012

2012.9
The celebrated Mirror Theorem states that the genus zero part of the A model (quantum cohomology, rational curves counting) of the Fermat quintic threefold is equivalent to the B model (complex deformation, variation of Hodge structure) of its mirror dual orbifold. In this article, we establish a mirror-dual statement. Namely, the B model of the Fermat quintic threefold is shown to be equivalent to the A model of its mirror, and hence establishes the mirror symmetry as a true duality.
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@inproceedings{yuan-pin2012a,
  title={A Mirror Theorem for the Mirror Quintic},
  author={Yuan-Pin Lee, and Mark Shoemaker},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20220415111954991547030},
  year={2012},
}
Yuan-Pin Lee, and Mark Shoemaker. A Mirror Theorem for the Mirror Quintic. 2012. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20220415111954991547030.
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