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

Cox, David A.; Katz, Sheldon

 
9780821821275: Mirror Symmetry and Algebraic Geometry (Mathematical Surveys & Monographs) (Mathematical Surveys and Monographs)
Softcover
ISBN 10: 082182127X ISBN 13: 9780821821275
Publisher: American Mathematical Society, 2000

Synopsis

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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About the Author

David A. Cox, Amherst College, MA

"About this title" may belong to another edition of this title.

Publisher
American Mathematical Society
Publication date
2000
Language
English
ISBN 10 
082182127X
ISBN 13 
9780821821275
Binding
Paperback
Number of pages
469

Other Popular Editions of the Same Title

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

Featured Edition

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