Mirror Symmetry and Algebraic Geometry by David A Cox

Mirror Symmetry and Algebraic Geometry by David A Cox

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Mirror Symmetry and Algebraic Geometry by David A Cox

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.
David A. Cox, Amherst College, MA
SKU Unavailable
ISBN 13 9780821821275
ISBN 10 082182127X
Title Mirror Symmetry and Algebraic Geometry
Author David A Cox
Series Mathematical Surveys And Monographs
Condition Unavailable
Binding Type Paperback
Publisher American Mathematical Society
Year published 1999-03-30
Number of pages 469
Cover note Book picture is for illustrative purposes only, actual binding, cover or edition may vary.