Geometry & Topology
- Geom. Topol.
- Volume 18, Number 3 (2014), 1437-1483.
A mirror theorem for the mirror quintic
The celebrated Mirror theorem states that the genus zero part of the model (quantum cohomology, rational curves counting) of the Fermat quintic threefold is equivalent to the model (complex deformation, variation of Hodge structure) of its mirror dual orbifold. In this article, we establish a mirror-dual statement. Namely, the model of the Fermat quintic threefold is shown to be equivalent to the model of its mirror, and hence establishes the mirror symmetry as a true duality.
Geom. Topol., Volume 18, Number 3 (2014), 1437-1483.
Received: 5 November 2013
Accepted: 17 January 2014
First available in Project Euclid: 20 December 2017
Permanent link to this document
Digital Object Identifier
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 14N35: Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants [See also 53D45]
Secondary: 53D45: Gromov-Witten invariants, quantum cohomology, Frobenius manifolds [See also 14N35]
Lee, Yuan-Pin; Shoemaker, Mark. A mirror theorem for the mirror quintic. Geom. Topol. 18 (2014), no. 3, 1437--1483. doi:10.2140/gt.2014.18.1437. https://projecteuclid.org/euclid.gt/1513732799