Mirror Symmetry and Algebraic Geometry

David A. Cox, Sheldon Katz

ISBN 10: 082182127X / ISBN 13: 9780821821275

Edité par American Mathematical Society, US, 1999

A propos de cet article

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, Kahler geometry, moduli of stable maps, Calabi-Yau manifolds, quantum cohomology, Gromov-Witten invariants, and the mirror theorem. This title features: numerous examples worked out in detail; an appendix on mathematical physics; an exposition of the algebraic theory of Gromov-Witten invariants and quantum cohomology; and, a proof of the mirror theorem for the quintic threefold.

N° de réf. du vendeur LU-9780821821275

Détails bibliographiques

• Titre: Mirror Symmetry and Algebraic Geometry
• Éditeur: American Mathematical Society, US
• Date de parution: 1999
• Langue: anglais
• ISBN à 10 chiffres: 082182127X
• ISBN à 13 chiffres: 9780821821275
• Reliure: Paperback
• État de l'article: New
• Dimensions: 17,78 L x 1,91 H x 25,4 P (centimètres) 17,78 centimètres de largeur par 1,91 centimètres de hauteur par 25,4 centimètres de profondeur
• Poids: 843 grammes

A propos de ce titre

Synopsis

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, Kahler geometry, moduli of stable maps, Calabi-Yau manifolds, quantum cohomology, Gromov-Witten invariants, and the mirror theorem. This title features: numerous examples worked out in detail; an appendix on mathematical physics; an exposition of the algebraic theory of Gromov-Witten invariants and quantum cohomology; and, a proof of the mirror theorem for the quintic threefold.

À propos de l?auteur

David A. Cox, Amherst College, MA