Mirror Symmetry and Algebraic Geometry

Mirror Symmetry and Algebraic Geometry - Mathematical Surveys and Monographs

Paperback (30 Mar 1999) | English

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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.

Book information

ISBN: 9780821821275
Publisher: American Mathematical Society
Imprint: American Mathematical Society
Pub date:
Language: English
Number of pages: 469
Weight: 836g
Height: 253mm
Width: 176mm
Spine width: 26mm