Tous nos rayons

Déjà client ? Identifiez-vous

Mot de passe oublié ?

Nouveau client ?

CRÉER VOTRE COMPTE
Mirror Symmetry and Algebraic Geometry
Ajouter à une liste

Librairie Eyrolles - Paris 5e
Indisponible

Mirror Symmetry and Algebraic Geometry

Mirror Symmetry and Algebraic Geometry

David A. Cox, Sheldon Katz

470 pages, parution le 01/06/2001

Résumé

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. 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
  • A proof of the mirror theorem for the quintic threefold
Contents
  • Preface
  • Notation
  • Ch. 1 Introduction 1
  • Ch. 2 The Quintic Threefold 15
  • Ch. 3 Toric Geometry 31
  • Ch. 4 Mirror Symmetry Constructions 53
  • Ch. 5 Hodge Theory and Yukawa Couplings 73
  • Ch. 6 Moduli Spaces 113
  • Ch. 7 Gromov-Witten Invariants 167
  • Ch. 8 Quantum Cohomology 217
  • Ch. 9 Localization 275
  • Ch. 10 Quantum Differential Equations 301
  • Ch. 11 The Mirror Theorem 331
  • Ch. 12 Conclusion 397
  • App. A Singular Varieties 407
  • App. B Physical Theories 411
  • Bibliography 437
  • Index

L'auteur - David A. Cox

DAVID A.COX is a professor of mathematics at Amherst College. He pursued his undergraduate studies at Rice University and earned his PhD from Princeton in 1975. The main focus of his research is algebraic geometry, though he also has interests in number theory and the history of mathematics. He is the author of Primes of the Form x2 + ny2, published by Wiley, as well as books on computational algebraic geometry and mirror symmetry.

Caractéristiques techniques

  PAPIER
Éditeur(s) American Mathematical Society (AMS)
Auteur(s) David A. Cox, Sheldon Katz
Parution 01/06/2001
Nb. de pages 470
Format 17,8 x 25,3
Couverture Broché
Poids 852g
Intérieur Noir et Blanc
EAN13 9780821821275
ISBN13 978-0-8218-2127-5

Avantages Eyrolles.com

Livraison à partir de 0,01 en France métropolitaine
Paiement en ligne SÉCURISÉ
Livraison dans le monde
Retour sous 15 jours
+ d'un million et demi de livres disponibles
satisfait ou remboursé
Satisfait ou remboursé
Paiement sécurisé
modes de paiement
Paiement à l'expédition
partout dans le monde
Livraison partout dans le monde
Service clients 0 321 79 56 75 sav@commande.eyrolles.com
librairie française
Librairie française depuis 1925