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

Cox, David A.; Katz, Sheldon

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.

About this title

About the Author

David A. Cox, Amherst College, MA

Edition details

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