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Item Details
Title: MIRROR SYMMETRY AND ALGEBRAIC GEOMETRY
By: David A. Cox, Sheldon Katz
Format: Paperback

List price: £52.95


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ISBN 10: 082182127X
ISBN 13: 9780821821275
Publisher: AMERICAN MATHEMATICAL SOCIETY
Pub. date: 15 March, 1999
Series: Mathematical Surveys and Monographs No. 68
Pages: 469
Description: Mirror symmetry began when theoretical physicists made some astonishing predictions about rational curves on quintic hypersurfaces in four-dimensional projective space. This book presents a comprehensive monograph on mirror symmetry, covering the original observations by the physicists.
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.
Illustrations: bibliography, index
Publication: US
Imprint: American Mathematical Society
Returns: Returnable
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