Topology, Geometry and Gauge fields

出版者:Springer

作者:Gregory L. Naber

页数:431

出版时间:2011-4-6

价格:USD 79.95

装帧:Hardcover

isbn号码:9781441978943

丛书系列:Texts in Applied Mathematics

图书标签:物理数学TopologyGeometryGauge计算机科学数学物理Springer

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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. The author brings readers up the level of physics and mathematics needed to conclude with a brief discussion of the Seiberg-Witten invariants. A large number of exercises are included to encourage active participation on the part of the reader.

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狄拉克的磁单极建立在U1主丛底流形是S2；四维光滑流形的关键在于杨米尔斯场

狄拉克的磁单极建立在U1主丛底流形是S2；四维光滑流形的关键在于杨米尔斯场

狄拉克的磁单极建立在U1主丛底流形是S2；四维光滑流形的关键在于杨米尔斯场

狄拉克的磁单极建立在U1主丛底流形是S2；四维光滑流形的关键在于杨米尔斯场