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Topology, Geometry and Gauge fields - Interactions (Paperback, Softcover reprint of hardcover 2nd ed. 2011)
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Topology, Geometry and Gauge fields - Interactions (Paperback, Softcover reprint of hardcover 2nd ed. 2011)
Series: Applied Mathematical Sciences, 141
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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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