| 书目名称 | Topology, Geometry and Gauge fields | | 副标题 | Interactions | | 编辑 | Gregory L. Naber | | 视频video | | | 概述 | Detailed survey of Donaldson-Witten Theory and the Witten Conjecture.Chapter and section summaries.Detailed illustrations.Exercises at the end of chapters.Includes supplementary material: | | 丛书名称 | Applied Mathematical Sciences | | 图书封面 |  | | 描述 | .A study of topology and geometry, beginning with a comprehensible account of the extraordinary and rather mysterious impact of mathematical physics, and especially gauge theory, on the study of the geometry and topology of manifolds. The focus of the book is the Yang-Mills-Higgs field and some considerable effort is expended to make clear its origin and significance in physics. Much of the mathematics developed here to study these fields is standard, but the treatment always keeps one eye on the physics and sacrifices generality in favor of clarity. This second edition has replaced a brief appendix in the first on the Seiberg-Witten equations with a much more detailed survey of Donaldson-Witten Theory and the Witten Conjecture regarding the relationship between Donaldson and Seiberg-Witten invariants..A large number of exercises are included to encourage active participation on the part of the reader..Review from first edition:."It is unusual to find a book so carefully tailored to the needs of this interdisciplinary area of mathematical physics...Naber combines a knowledge of his subject with an excellent informal writing style.".SIAM REVIEW. | | 出版日期 | Textbook 2011Latest edition | | 关键词 | Donaldson invariants; Gauge theories; Seiberg-Witten invariants; Spacetimes; Witten conjecture; character | | 版次 | 2 | | doi | https://doi.org/10.1007/978-1-4419-7895-0 | | isbn_softcover | 978-1-4614-2838-1 | | isbn_ebook | 978-1-4419-7895-0Series ISSN 0066-5452 Series E-ISSN 2196-968X | | issn_series | 0066-5452 | | copyright | Springer Science+Business Media, LLC 2011 |
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