| 书目名称 | Recent Progress on the Donaldson–Thomas Theory |
| 副标题 | Wall-Crossing and Re |
| 编辑 | Yukinobu Toda |
| 视频video | http://file.papertrans.cn/824/823330/823330.mp4 |
| 概述 | Provides an introduction of DT theory for both mathematicians and physicists.Emphasizes both the foundation and computations in the study of DT theory.Contains a mathematical theory of Gopakumar–Vafa |
| 丛书名称 | SpringerBriefs in Mathematical Physics |
| 图书封面 |  |
| 描述 | This book is an exposition of recent progress on the Donaldson–Thomas (DT) theory. The DT invariant was introduced by R. Thomas in 1998 as a virtual counting of stable coherent sheaves on Calabi–Yau 3-folds. Later, it turned out that the DT invariants have many interesting properties and appear in several contexts such as the Gromov–Witten/Donaldson–Thomas conjecture on curve-counting theories, wall-crossing in derived categories with respect to Bridgeland stability conditions, BPS state counting in string theory, and others. .Recently, a deeper structure of the moduli spaces of coherent sheaves on Calabi–Yau 3-folds was found through derived algebraic geometry. These moduli spaces admit shifted symplectic structures and the associated d-critical structures, which lead to refined versions of DT invariants such as cohomological DT invariants. The idea of cohomological DT invariants led to a mathematical definition of the Gopakumar–Vafa invariant, which was firstproposed by Gopakumar–Vafa in 1998, but its precise mathematical definition has not been available until recently..This book surveys the recent progress on DT invariants and related topics, with a focus on applications to cur |
| 出版日期 | Book 2021 |
| 关键词 | Donaldson-Thomas invariants; Bridgeland stability conditions; Gopakumar-Vafa invariants; Wall-crossing |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-981-16-7838-7 |
| isbn_softcover | 978-981-16-7837-0 |
| isbn_ebook | 978-981-16-7838-7Series ISSN 2197-1757 Series E-ISSN 2197-1765 |
| issn_series | 2197-1757 |
| copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Singapor |
|Archiver|手机版|小黑屋|
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