Topology, Geometry, and Gauge Fields
Foundations
by Gregory L. Naber
This is a book on topology and geometry and, like any books on subjects as vast as these, it has a point-of-view that guided the selection of topics. Naber takes the view that the rekindled interest that mathematics and physics have shown in each other of late should be fostered and that this is best accomplished by allowing them to cohabit. The book weaves together rudimentary notions from the classical gauge theory of physics with the topological and geometrical concepts that became the mathemtical models of these notions. We ask the reader to come to us with some vague notion of what an electromagnetic field might be, a willingness to accept a few of the more elementary pronouncements of quantum mechanics, a solid background in real analysis and linear algebra and some of the vocabulary of modern algebra. To such a reader we offer an excursion that begins with the definition of a topological space and finds its way eventually to the moduli space of anti-self-dual SU(2) connections on S4 with instanton number -1.
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| Edition | Availability |
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1
Topology, Geometry, and Gauge Fields: Interactions
2013, Springer London, Limited
in English
1475768508 9781475768503
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2
Topology, Geometry and Gauge Fields: Interactions
2013, Springer New York
in English
1461428386 9781461428381
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3
Topology, Geometry and Gauge fields: Foundations
Nov 05, 2012, Springer, Brand: Springer
paperback
1461426820 9781461426820
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4
Topology, Geometry and Gauge fields: Interactions
Apr 06, 2011, Springer
paperback
1441978968 9781441978967
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6
Topology, Geometry, and Gauge Fields: Foundations
1997, Springer New York
electronic resource :
in English
1475727445 9781475727449
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