Description
This book is about mirror symmetry and its mathematics. Mirror symmetry is a mathematical phenomenon that was discovered by theoretical physicists. The mathematics behind mirror symmetry is complex, and this book is the first comprehensive monograph on mirror symmetry.
Mirror symmetry began when theoretical physicists made some astonishing predictions about rational curves on quintic hypersurfaces in four-dimensional projective space. Understanding the mathematics behind these predictions has been a substantial challenge. This book is the first completely comprehensive monograph on mirror symmetry, covering the original observations by the physicists through the most recent progress made to date. Subjects discussed include toric varieties, Hodge theory, Khler geometry, moduli of stable maps, Calabi-Yau manifolds, quantum cohomology, Gromov-Witten invariants, and the mirror theorem.