The Resource Topology, geometry and gauge fields : interactions, Gregory L. Naber
Topology, geometry and gauge fields : interactions, Gregory L. Naber
Resource Information
The item Topology, geometry and gauge fields : interactions, Gregory L. Naber represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.This item is available to borrow from 1 library branch.
Resource Information
The item Topology, geometry and gauge fields : interactions, Gregory L. Naber represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.
This item is available to borrow from 1 library branch.
 Summary
 This volume is intended to carry on the program, initiated in Topology, Geometry, and Gauge Fields: Foundations (Springer, 2010), of exploring the interrelations between particle physics and topology that arise from their shared notion of a gauge field. The text begins with a synopsis of the geometrical background assumed of the reader (manifolds, Lie groups, bundles, connections, etc.). There follows a lengthy, and somewhat informal discussion of a number of the most basic of the classical gauge theories arising in physics, including classical electromagnetic theory and Dirac monopoles, the KleinGordon and Dirac equations and SU(2) YangMillsHiggs theory. The real purpose here is to witness such things as spacetime manifolds, spinor structures, de Rham cohomology, and Chern classes arise of their own accord in meaningful physics. All of these are then developed rigorously in the remaining chapters. With the precise definitions in hand, one can, for example, fully identify magnetic charge and instanton number with the Chern numbers of the bundles on which the charge and instanton live, and uncover the obstruction to the existence of a spinor structure in the form of the second StiefelWhitney class. This second edition of the book includes, in an Appendix, a much expanded sketch of SeibergWitten gauge theory, including a brief discussion of its origins in physics and its implications for topology. To provide the reader with the opportunity to pause en route and join in the fun, there are 228 exercises, each an integral part of the development and each located at precisely the point at which it can be solved with optimal benefit. Reviews of first edition: "Naber's goal is not to teach a sterile course on geometry and topology, but rather to enable us to see the subject in action, through gauge theory." (SIAM Review) "The presentation ... is enriched by detailed discussions about the physical interpretations of connections, their curvatures and characteristic classes. I particularly enjoyed Chapter 2 where many fundamental physical examples are discussed at great length in a reader friendly fashion. No detail is left to the reader's imagination or interpretation. I am not aware of another source where these very important examples and ideas are presented at a level accessible to beginners." (Mathematical Reviews)
 Language
 eng
 Edition
 2nd ed.
 Extent
 1 online resource (xii, 419 pages).
 Contents

 Geometrical background
 Physical motivation
 Frame bundles and spacetimes
 Differential forms and integration
 De Rham Cohomology
 Characteristic classes
 Isbn
 9781441978950
 Label
 Topology, geometry and gauge fields : interactions
 Title
 Topology, geometry and gauge fields
 Title remainder
 interactions
 Statement of responsibility
 Gregory L. Naber
 Language
 eng
 Summary
 This volume is intended to carry on the program, initiated in Topology, Geometry, and Gauge Fields: Foundations (Springer, 2010), of exploring the interrelations between particle physics and topology that arise from their shared notion of a gauge field. The text begins with a synopsis of the geometrical background assumed of the reader (manifolds, Lie groups, bundles, connections, etc.). There follows a lengthy, and somewhat informal discussion of a number of the most basic of the classical gauge theories arising in physics, including classical electromagnetic theory and Dirac monopoles, the KleinGordon and Dirac equations and SU(2) YangMillsHiggs theory. The real purpose here is to witness such things as spacetime manifolds, spinor structures, de Rham cohomology, and Chern classes arise of their own accord in meaningful physics. All of these are then developed rigorously in the remaining chapters. With the precise definitions in hand, one can, for example, fully identify magnetic charge and instanton number with the Chern numbers of the bundles on which the charge and instanton live, and uncover the obstruction to the existence of a spinor structure in the form of the second StiefelWhitney class. This second edition of the book includes, in an Appendix, a much expanded sketch of SeibergWitten gauge theory, including a brief discussion of its origins in physics and its implications for topology. To provide the reader with the opportunity to pause en route and join in the fun, there are 228 exercises, each an integral part of the development and each located at precisely the point at which it can be solved with optimal benefit. Reviews of first edition: "Naber's goal is not to teach a sterile course on geometry and topology, but rather to enable us to see the subject in action, through gauge theory." (SIAM Review) "The presentation ... is enriched by detailed discussions about the physical interpretations of connections, their curvatures and characteristic classes. I particularly enjoyed Chapter 2 where many fundamental physical examples are discussed at great length in a reader friendly fashion. No detail is left to the reader's imagination or interpretation. I am not aware of another source where these very important examples and ideas are presented at a level accessible to beginners." (Mathematical Reviews)
 Cataloging source
 GW5XE
 http://library.link/vocab/creatorDate
 1948
 http://library.link/vocab/creatorName
 Naber, Gregory L.
 Dewey number
 530.15
 Index
 index present
 LC call number
 QC20.7.T65
 LC item number
 N33 2011
 Literary form
 non fiction
 Nature of contents

 dictionaries
 bibliography
 Series statement
 Applied mathematical sciences
 Series volume
 v. 141
 http://library.link/vocab/subjectName

 Topology
 Geometry
 Gauge fields (Physics)
 Mathematical physics
 Gauge fields (Physics)
 Geometry
 Mathematical physics
 Topology
 Label
 Topology, geometry and gauge fields : interactions, Gregory L. Naber
 Bibliography note
 Includes bibliographical references and index
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier
 Color
 multicolored
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents
 Geometrical background  Physical motivation  Frame bundles and spacetimes  Differential forms and integration  De Rham Cohomology  Characteristic classes
 Control code
 719363278
 Dimensions
 unknown
 Edition
 2nd ed.
 Extent
 1 online resource (xii, 419 pages).
 Form of item
 online
 Isbn
 9781441978950
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Other control number

 9781441978943
 10.1007/978144197
 http://library.link/vocab/ext/overdrive/overdriveId
 9781441978943
 Specific material designation
 remote
 System control number
 (OCoLC)719363278
 Label
 Topology, geometry and gauge fields : interactions, Gregory L. Naber
 Bibliography note
 Includes bibliographical references and index
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier
 Color
 multicolored
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents
 Geometrical background  Physical motivation  Frame bundles and spacetimes  Differential forms and integration  De Rham Cohomology  Characteristic classes
 Control code
 719363278
 Dimensions
 unknown
 Edition
 2nd ed.
 Extent
 1 online resource (xii, 419 pages).
 Form of item
 online
 Isbn
 9781441978950
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Other control number

 9781441978943
 10.1007/978144197
 http://library.link/vocab/ext/overdrive/overdriveId
 9781441978943
 Specific material designation
 remote
 System control number
 (OCoLC)719363278
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