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Catalogue Information
Field name	Details
Dewey Class	516.362
Title	Topology, Geometry and Gauge fields ([Ebook]) : Foundations / by Gregory L. Naber.
Author	Naber, Gregory L.
Other name(s)	SpringerLink (Online service)
Publication	New York, NY : Springer
Publication	, 2011.
Physical Details	XX, 437 pages : online resource.
Series	Texts in applied mathematics 0939-2475 ; ; 25
ISBN	9781441972545
Summary Note	This is a book on topology and geometry, and like any book on subjects as vast as these, it has a point of view that guided the selection of topics. The authorâs point of view is 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 goal is to weave together rudimentary notions from the classical gauge theories of physics and the topological and geometrical concepts that became the mathematical models of these notions. The reader is assumed to have a minimal understanding of what an electromagnetic field is, a willingness to accept a few of the more elementary pronouncements of quantum mechanics, and a solid background in real analysis and linear algebra with 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 Donaldsonâs beautiful application of gauge theory to the topology of compact, simply connected , smooth 4-manifolds with definite intersection form. Reviews of the first edition: âIt is unusual to find a book so carefully tailored to the needs of this interdisciplinary area of mathematical physicsâ¦Naber combines a deep knowledge of his subject with an excellent informal writing style.â (NZMS Newsletter) "...this book should be very interesting for mathematicians and physicists (as well as other scientists) who are concerned with gauge theories." (ZENTRALBLATT FUER MATHEMATIK) âThe book is well written and the examples do a great service to the reader. It will be a helpful companion to anyone teaching or studying gauge theory â¦â (Mathematical Reviews):
Contents note	Contents: Preface -- Physical and geometrical motivation 1 Topological spaces -- Homotopy groups -- Principal bundles -- Differentiable manifolds and matrix Lie groups -- Gauge fields and Instantons. Appendix. References. Index.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/978-1-4419-7254-5
Links to Related Works	Subject References: Elementary Particles, Quantum Field Theory . Geometry . Mathematics . Quantum theory . Topology . Authors: Naber, Gregory L. . Corporate Authors: SpringerLink (Online service) . Series: Texts in applied mathematics . Classification: 516.362 . 516.362 (DDC 23) .

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Topology, Geometry and Gauge fields: Foundations

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