| 书目名称 | Differential Geometry and Mathematical Physics | | 副标题 | Part II. Fibre Bundl | | 编辑 | Gerd Rudolph,Matthias Schmidt | | 视频video | | | 概述 | Offers a rigorous study of the geometric structure of gauge theories.Provides a systematic and exhaustive presentation of Dirac operators.Enriched by an introduction with interesting historical remark | | 丛书名称 | Theoretical and Mathematical Physics | | 图书封面 |  | | 描述 | The book is devoted to the study of the geometrical and topological structure of gauge theories. It consists of the following three building blocks:.- Geometry and topology of fibre bundles,.- Clifford algebras, spin structures and Dirac operators,.- Gauge theory..Written in the style of a mathematical textbook, it combines a comprehensive presentation of the mathematical foundations with a discussion of a variety of advanced topics in gauge theory..The first building block includes a number of specific topics, like invariant connections, universal connections, H-structures and the Postnikov approximation of classifying spaces..Given the great importance of Dirac operators in gauge theory, a complete proof of the Atiyah-Singer Index Theorem is presented. The gauge theory part contains the study of Yang-Mills equations (including the theory of instantons and the classical stability analysis), the discussion of variousmodels with matter fields (including magnetic monopoles, the Seiberg-Witten model and dimensional reduction) and the investigation of the structure of the gauge orbit space. The final chapter is devoted to elements of quantum gauge theory including the discussion of the | | 出版日期 | Book 2017 | | 关键词 | Dirac operators; Linear connections; Riemannian geometry; Homotopy theory; Cohomology theory; Whitney sum | | 版次 | 1 | | doi | https://doi.org/10.1007/978-94-024-0959-8 | | isbn_softcover | 978-94-024-1449-3 | | isbn_ebook | 978-94-024-0959-8Series ISSN 1864-5879 Series E-ISSN 1864-5887 | | issn_series | 1864-5879 | | copyright | Springer Science+Business Media Dordrecht 2017 |
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发表于 2025-3-21 19:56:41
