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Mirror Symmetry and Algebraic Geometry : Mathematical Surveys and Monographs (Z) - David A. Cox

Mirror Symmetry and Algebraic Geometry

Mathematical Surveys and Monographs (Z)

Paperback ISBN: 9780821821275
Number Of Pages: 469

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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.

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.

ISBN: 9780821821275
ISBN-10: 082182127X
Series: Mathematical Surveys and Monographs (Z)
Audience: Professional
Format: Paperback
Language: English
Number Of Pages: 469
Publisher: American Mathematical Society
Country of Publication: US
Dimensions (cm): 25.4 x 17.78  x 1.91
Weight (kg): 0.86
Edition Type: New edition

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