Mirror Symmetry and Algebraic Geometry

David A. Cox, Sheldon Katz

ISBN 10: 082182127X / ISBN 13: 9780821821275

Editore: American Mathematical Society, US, 1999

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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, 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.

Codice articolo LU-9780821821275

Dati bibliografici

• Titolo: Mirror Symmetry and Algebraic Geometry
• Editore: American Mathematical Society, US
• Data di pubblicazione: 1999
• Lingua: Inglese
• ISBN 10: 082182127X
• ISBN 13: 9780821821275
• Rilegatura: Paperback
• Condizione: New
• Dimensioni: 17,78 L x 1,91 A x 25,4 P centimetri 17,78 centimetri di larghezza per 1,91 centimetri di altezza per 25,4 centimetri di profondità
• Peso: 843 grammi

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Riassunto

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.

Product Description

Book by David A Cox