Mirror Symmetry and Algebraic Geometry

David A. Cox, Sheldon Katz

Research output: Book/Report/Conference proceedingBook

Abstract

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, Kähler geometry, moduli of stable maps, Calabi-Yau manifolds, quantum cohomology, Gromov-Witten invariants, and the mirror theorem.
Original languageEnglish (US)
PublisherAmerican Mathematical Society
Number of pages469
ISBN (Electronic)978-1-4704-1295-1
ISBN (Print)978-0-8218-2127-5
DOIs
StatePublished - 1999
Externally publishedYes

Publication series

NameMathematical Surveys and Monographs
PublisherAmerican Mathematical Society
Volume68

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