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 mathematical 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. This second edition of the book includes a new chapter on singular homology theory and a new appendix outlining DOnaldson's beutiful application of gauge theory to the topology of compact, simply connected, smooth 4- manifolds with definite intersection form.
Sub Title | No |
---|---|
Author | Gregory L. Naber |
About Author | Gregory Naber is a Professor at Drexel University in the Department of Mathematics |
Content |
No |
ISBN 10 Digit | No |
ISBN 13 Digit | 9781441972538 |
Pages | XX, 437 |
Binding | Hardback |
Year of Publication | 2010 |
Edition of Book | 2nd |
Language | English |
Illustrations | No |
About Book | Yes |
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