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 ...
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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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Add this copy of Topology, Geometry and Gauge Fields: Interactions to cart. $72.45, Sold by Zubal Books rated 5.0 out of 5 stars, ships from Cleveland, OH, UNITED STATES, published 2011 by Springer.
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Add this copy of Topology, Geometry and Gauge Fields: Interactions to cart. $119.08, new condition, Sold by BargainBookStores rated 3.0 out of 5 stars, ships from Grand Rapids, MI, UNITED STATES, published 2011 by Springer.