A Mirror Theorem for the Mirror Quintic.

[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 thesis, 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 mirror symmetry as a true duality

[发布机构] University of Michigan

[效力级别] Mathematics

[关键词] Algebraic Geometry;Mathematics;Science;Mathematics