A mirror theorem for the mirror quintic

作者:Lee Yuan Pin*; Shoemaker Mark
来源:Geometry and Topology, 2014, 18(3): 1437-1483.
DOI:10.2140/gt.2014.18.1437

摘要

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.

  • 出版日期2014