| 書目名稱 | Lie Methods in Deformation Theory | | 編輯 | Marco Manetti | | 視頻video | http://file.papertrans.cn/586/585709/585709.mp4 | | 概述 | Introduces differential graded Lie algebras, L-infinity algebras, and their homotopy classification in detail.Applies the differential graded Lie approach to deformation theory of complex manifolds—th | | 叢書名稱 | Springer Monographs in Mathematics | | 圖書封面 |  | | 描述 | This book furnishes a comprehensive treatment of differential graded Lie algebras, L-infinity algebras, and their use in deformation theory. We believe it is the first textbook devoted to this subject, although the first chapters are also covered in other sources with a different perspective..Deformation theory is an important subject in algebra and algebraic geometry, with an origin that dates back to Kodaira, Spencer, Kuranishi, Gerstenhaber, and Grothendieck. In the last 30 years, a new approach, based on ideas from rational homotopy theory, has made it possible not only to solve long-standing open problems, but also to clarify the general theory and to relate apparently different features. This approach works over a field of characteristic 0, and the central role is played by the notions of differential graded Lie algebra,? L-infinity algebra, and Maurer–Cartan equations..The book is written keeping in mind graduate students with a basic knowledge of homological algebra and complex algebraic geometry as utilized, for instance, in the book by K. Kodaira, .Complex Manifolds and Deformation of Complex Structures.. Although the main applications in this book concern deformation the | | 出版日期 | Book 2022 | | 關(guān)鍵詞 | deformation theory; differential graded Lie algebras; L-infinity algebras; simplicial methods; Deligne g | | 版次 | 1 | | doi | https://doi.org/10.1007/978-981-19-1185-9 | | isbn_softcover | 978-981-19-1187-3 | | isbn_ebook | 978-981-19-1185-9Series ISSN 1439-7382 Series E-ISSN 2196-9922 | | issn_series | 1439-7382 | | copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Singapor |
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