Overview

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.

Full Product Details

Author:   David A. Cox ,  Sheldon Katz
Publisher:   American Mathematical Society
Imprint:   American Mathematical Society
Edition:   New edition
Volume:   No. 68
Dimensions:   Width: 17.80cm , Height: 2.60cm , Length: 25.40cm
Weight:   0.843kg
ISBN:  

9780821821275

ISBN 10:   082182127
Pages:   469
Publication Date:   30 March 1999
Audience:   College/higher education ,  Professional and scholarly ,  Postgraduate, Research & Scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Awaiting stock  
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Table of Contents

Introduction The quintic threefold Toric geometry Mirror symmetry constructions Hodge theory and Yukawa couplings Moduli spaces Gromov-Witten invariants Quantum cohomology Localization Quantum differential equations The mirror theorem Conclusion Singular varieties Physical theories Bibliography Index.

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David A. Cox, Amherst College, MA

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