Mirror symmetry and algebraic geometry
Author(s)
Bibliographic Information
Mirror symmetry and algebraic geometry
（Mathematical surveys and monographs, v. 68）
American Mathematical Society, c1999
- : pbk
Available at / 89 libraries
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410.8//MA72//390515100137817,15100137825,15100136561,15100139052,
: pbk410.8//MA72//836715100283678 -
Hiroshima University Central Library, Interlibrary Loan
414.6:C-89/HL4010004000409052,
: pbk414.6:C-89/HL4010004030400369 -
Hokkaido University, Library, Graduate School of Science, Faculty of Science and School of Science研究室
516.362/C8392070477623
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Note
Includes bibliographical references (p. 437-451) and index
Description and Table of Contents
- Volume
-
ISBN 9780821810590
Description
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.
Table of Contents
- The quintic threefold
- Toric geometry
- Mirror symmetry constructions
- Hodge theory and Yukawa couplings
- Moduli spaces
- Gromov-Witten invariants
- Quantum cohomology
- Localization
- Quantum differential equations
- The mirror theorem
- Conclusion
- Singular varieties.
- Volume
-
: pbk ISBN 9780821821275
Description
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.
Table of Contents
Introduction The quintic threefold Toric geometry Mirror symmetry constructions Hodge theory and Yukawa couplings Moduli spaces Gromov-Witten invariants Quantum cohomology Localization Quantum differential equations The mirror theorem Conclusion Singular varieties Physical theories Bibliography Index.
by "Nielsen BookData"