| 書目名稱 | Classical Mirror Symmetry |
| 編輯 | Masao Jinzenji |
| 視頻video | http://file.papertrans.cn/228/227108/227108.mp4 |
| 概述 | Restricts readers‘ attention to the best-known example of mirror symmetry: a quintic hypersurface in CP^4.Explains mirror symmetry from the point of view of a researcher involved in physics and mathem |
| 叢書名稱 | SpringerBriefs in Mathematical Physics |
| 圖書封面 |  |
| 描述 | This book furnishes a brief introduction to classical mirror symmetry, a term that denotes the process of computing Gromov–Witten invariants of a Calabi–Yau threefold by using the Picard–Fuchs differential equation of period integrals of its mirror Calabi–Yau threefold. The book concentrates on the best-known example, the quintic hypersurface in 4-dimensional projective space, and its mirror manifold..First, there is a brief review of the process of discovery of mirror symmetry and the striking result proposed in the celebrated paper by Candelas and his collaborators. Next, some elementary results of complex manifolds and Chern classes needed for study of mirror symmetry are explained. Then the topological sigma models, the A-model and the B-model, are introduced. The classical mirror symmetry hypothesis is explained as the equivalence between the correlation function of the A-model of a quintic hyper-surface and that of the B-model of its mirror manifold..On the B-model side, the process of construction of a pair of mirror Calabi–Yau threefold using toric geometry is briefly explained. Also given are detailed explanations of the derivation of the Picard–Fuchs differential equation |
| 出版日期 | Book 2018 |
| 關(guān)鍵詞 | Mirror Symmetry; Topological Sigma Model; Gromov-Witten invariants; Bott Residue Formula; Projective Hyp |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-981-13-0056-1 |
| isbn_softcover | 978-981-13-0055-4 |
| isbn_ebook | 978-981-13-0056-1Series ISSN 2197-1757 Series E-ISSN 2197-1765 |
| issn_series | 2197-1757 |
| copyright | The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd., part of Springer Natur |
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