Mirror Symmetry And Algebraic Geometry (Mathematical Surveys and Monographs) - Softcover

Cox, David

 
9780821821275: Mirror Symmetry And Algebraic Geometry (Mathematical Surveys and Monographs)

Inhaltsangabe

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.

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Über die Autorin bzw. den Autor

David A. Cox, Amherst College, MA

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9780821810590: Mirror Symmetry and Algebraic Geometry: No.68 (Mathematical Surveys and Monographs)

Vorgestellte Ausgabe

ISBN 10:  0821810596 ISBN 13:  9780821810590
Verlag: American Mathematical Society, 1999
Softcover