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Mirror symmetry and algebraic geometry

✍ Scribed by David A. Cox, Sheldon Katz

Book ID
127421441
Publisher
American Mathematical Society
Year
1999
Tongue
English
Weight
7 MB
Series
Mathematical surveys and monographs 68
Edition
New Edition
Category
Library
City
Providence, R.I
ISBN
082182127X
ISSN
0076-5376

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✦ 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, KΓ€hler geometry, moduli of stable maps, Calabi-Yau manifolds, quantum cohomology, Gromov-Witten invariants, and the mirror theorem.

πŸ“œ SIMILAR VOLUMES

Mirror symmetry⇒2-view stereo geometry
Mirror symmetry⇒2-view stereo geometry
✍ Alexandre R.J. FranΓ§ois; GΓ©rard G. Medioni; Roman Waupotitsch πŸ“‚ Article πŸ“… 2003 πŸ› Elsevier Science 🌐 English βš– 271 KB

We address the problem of 3D reconstruction from a single perspective view of a mirror symmetric scene. We establish the fundamental result that it is geometrically equivalent to observing the scene with two cameras, the cameras being symmetrical with respect to the unknown 3D symmetry plane. All tr