Mirror symmetry and algebraic geometry
著者
書誌事項
Mirror symmetry and algebraic geometry
（Mathematical surveys and monographs, v. 68）
American Mathematical Society, c1999
- : pbk
大学図書館所蔵 件 / 全89件
-
410.8//MA72//390515100137817,15100137825,15100136561,15100139052,
: pbk410.8//MA72//836715100283678 -
該当する所蔵館はありません
- すべての絞り込み条件を解除する
注記
Includes bibliographical references (p. 437-451) and index
内容説明・目次
- 巻冊次
-
ISBN 9780821810590
内容説明
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.
目次
- 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.
- 巻冊次
-
: pbk ISBN 9780821821275
内容説明
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.
目次
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.
「Nielsen BookData」 より
