Mirror Symmetry and Algebraic Geometry (Mathematical Surveys and Monographs, #68)

by David A Cox and Sheldon Katz

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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 presents a comprehensive monograph on mirror symmetry, covering the original observations by the physicists through the most recent progress made up 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.
  • ISBN10 0821810596
  • ISBN13 9780821810590
  • Publish Date 27 May 1999 (first published 15 March 1999)
  • Publish Status Out of Print
  • Out of Print 2 October 2009
  • Publish Country US
  • Imprint American Mathematical Society
  • Format Hardcover
  • Pages 467
  • Language English