A Mirror Theorem for the Mirror Quintic.

Algebraic Geometry;Mathematics;Science;Mathematics

Shoemaker, Mark AlexanderKriz, Igor ;

University of Michigan

关键词: Algebraic Geometry;    Mathematics;    Science;    Mathematics;   

Others  :  https://deepblue.lib.umich.edu/bitstream/handle/2027.42/99912/shoemama_1.pdf?sequence=1&isAllowed=y

瑞士|英语

来源: The Illinois Digital Environment for Access to Learning and Scholarship

【 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