A Mirror Theorem for the Mirror Quintic
Abstract
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.
- Publication:
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arXiv e-prints
- Pub Date:
- September 2012
- DOI:
- arXiv:
- arXiv:1209.2487
- Bibcode:
- 2012arXiv1209.2487L
- Keywords:
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- Mathematics - Algebraic Geometry
- E-Print:
- Geom. Topol. 18 (2014) 1437-1483