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Titlebook: Categorical Donaldson-Thomas Theory for Local Surfaces; Yukinobu Toda Book 2024 The Editor(s) (if applicable) and The Author(s), under exc

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樓主
發(fā)表于 2025-3-21 18:04:04 | 只看該作者 |倒序瀏覽 |閱讀模式
書目名稱Categorical Donaldson-Thomas Theory for Local Surfaces
編輯Yukinobu Toda
視頻videohttp://file.papertrans.cn/243/242038/242038.mp4
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
叢書名稱Lecture Notes in Mathematics
圖書封面Titlebook: Categorical Donaldson-Thomas Theory for Local Surfaces; Yukinobu Toda Book 2024 The Editor(s) (if applicable) and The Author(s), under exc
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
關(guān)鍵詞Donaldson-Thomas theory; Calabi-Yau 3-Folds; Derived Categories; Matrix Factorizations; Derived Algebrai
版次1
doihttps://doi.org/10.1007/978-3-031-61705-8
isbn_softcover978-3-031-61704-1
isbn_ebook978-3-031-61705-8Series ISSN 0075-8434 Series E-ISSN 1617-9692
issn_series 0075-8434
copyrightThe Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl
The information of publication is updating

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沙發(fā)
發(fā)表于 2025-3-22 00:08:43 | 只看該作者
Book 2024ical 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..
板凳
發(fā)表于 2025-3-22 04:14:04 | 只看該作者
Categorical Donaldson-Thomas Theory for Local Surfaces
地板
發(fā)表于 2025-3-22 08:05:05 | 只看該作者
5#
發(fā)表于 2025-3-22 10:40:35 | 只看該作者
Haikady N. Nagaraja,Chaitra H. Nagarajaomplement of the fully-faithful functor, which recovers the wall-crossing formula of the PT invariants, and also gives a rationality statement of the generating series of PT categories in the Grothendieck group of triangulated categories.
6#
發(fā)表于 2025-3-22 14:49:17 | 只看該作者
Categorical Donaldson-Thomas Theory for Local Surfaces978-3-031-61705-8Series ISSN 0075-8434 Series E-ISSN 1617-9692
7#
發(fā)表于 2025-3-22 20:28:30 | 只看該作者
Peter A. Lachenbruch,Janet Wittesated to several branches of mathematics, e.g. enumerative geometry, geometric representation theory, birational geometry, classical moduli theory, and so on. Among them, we focus on motivations from d-critical D/K equivalence conjecture and categorical wall-crossing formula.
8#
發(fā)表于 2025-3-22 21:44:03 | 只看該作者
Haikady N. Nagaraja,Chaitra H. Nagarajaomplement of the fully-faithful functor, which recovers the wall-crossing formula of the PT invariants, and also gives a rationality statement of the generating series of PT categories in the Grothendieck group of triangulated categories.
9#
發(fā)表于 2025-3-23 02:25:19 | 只看該作者
Yukinobu TodaInitiates 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
10#
發(fā)表于 2025-3-23 05:37:29 | 只看該作者
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