Mirror Symmetry and Algebraic Geometry

David A. Cox, Sheldon Katz

Amer Mathematical Society

1999

469 páginas

15h 38m

ISBN-10: 0821810596

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 presents a comprehensive monograph on mirror symmetry, covering the original observations by the physicists through the most recent progress made up to date. Subjects discussed include toric varieties, Hodge theory, Kahler geometry, moduli of stable maps, Calabi-Yau manifolds, quantum cohomology, Gromov-Witten invariants, and the mirror theorem.