| 书目名称 | Categorical Donaldson-Thomas Theory for Local Surfaces |
| 编辑 | Yukinobu Toda |
| 视频video | |
| 概述 | Initiates the study of the rapidly developing field of categorical Donaldson-Thomas theory.Encourages further research by describing the interaction of enumerative geometry with several other subjects |
| 丛书名称 | Lecture Notes in Mathematics |
| 图书封面 |  |
| 描述 | .This book provides an introduction to categorical Donaldson-Thomas (DT) theory, a rapidly developing field which has close links to enumerative geometry, birational geometry, geometric representation theory and classical moduli problems in algebraic geometry. The focus is on local surfaces, i.e. the total spaces of canonical line bundles on algebraic surfaces, which form an interesting class of Calabi-Yau 3-folds. Using Koszul duality equivalences and singular support theory, dg-categories are constructed which categorify Donaldson-Thomas invariants on local surfaces. The DT invariants virtually count stable coherent sheaves on Calabi-Yau 3-folds, and play an important role in modern enumerative geometry, representation theory and mathematical physics...Requiring a basic knowledge of algebraic geometry and homological algebra, this monograph is primarily addressed to researchers working in enumerative geometry, especially Donaldson-Thomas theory, derived categories of coherent sheaves, and related areas.. |
| 出版日期 | Book 2024 |
| 关键词 | Donaldson-Thomas theory; Calabi-Yau 3-Folds; Derived Categories; Matrix Factorizations; Derived Algebrai |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-031-61705-8 |
| isbn_softcover | 978-3-031-61704-1 |
| isbn_ebook | 978-3-031-61705-8Series ISSN 0075-8434 Series E-ISSN 1617-9692 |
| issn_series | 0075-8434 |
| copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl |
发表于 2025-3-21 18:04:04
