| 书目名称 | Topology, Geometry, and Gauge Fields | | 副标题 | Interactions | | 编辑 | Gregory L. Naber | | 视频video | | | 丛书名称 | Applied Mathematical Sciences | | 图书封面 |  | | 描述 | This volume is intended to carryon the program initiated in Topology, Geometry, and Gauge Fields: Foundations (henceforth, [N4]). It is written in much the same spirit and with precisely the same philosophical motivation: Mathematics and physics have gone their separate ways for nearly a century now and it is time for this to end. Neither can any longer afford to ignore the problems and insights of the other. Why are Dirac magnetic monopoles in one-to-one correspondence with the principal U(l) bundles over S2? Why do Higgs fields fall into topological types? What led Donaldson, in 1980, to seek in the Yang-Mills equations of physics for the key that unlocks the mysteries of smooth 4-manifolds and what phys ical insights into quantum field theory led Witten, fourteen years later, to propose the vastly simpler, but apparently equivalent Seiberg-Witten equations as an alternative? We do not presume to answer these questions here, but only to promote an atmosphere in which both mathematicians and physicists recognize the need for answers. More succinctly, we shall endeavor to provide an exposition of elementary topology and geometry that keeps one eye on the physics in which our conc | | 出版日期 | Textbook 20001st edition | | 关键词 | Area; Volume; gauge theory; mathematical physics; topology; combinatorics | | 版次 | 1 | | doi | https://doi.org/10.1007/978-1-4757-6850-3 | | isbn_ebook | 978-1-4757-6850-3Series ISSN 0066-5452 Series E-ISSN 2196-968X | | issn_series | 0066-5452 | | copyright | Springer Science+Business Media New York 2000 |
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