Mirror Symmetry and Algebraic Geometry

Regular price €127.99
A01=David A. Cox
A01=Sheldon Katz
Author_David A. Cox
Author_Sheldon Katz
Category=PBMW
Category=PBW
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eq_isMigrated=2
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Product details

  • ISBN 9780821821275
  • Weight: 843g
  • Publication Date: 30 Mar 1999
  • Publisher: American Mathematical Society
  • Publication City/Country: US
  • Product Form: Paperback
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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.
David A. Cox, Amherst College, MA