Topology, geometry, and gauge fields : interactions
Author(s)
Bibliographic Information
Topology, geometry, and gauge fields : interactions
（Applied mathematical sciences, 141）
Springer, c2011
2nd ed
- : [pbk]
Available at / 23 libraries
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Library, Research Institute for Mathematical Sciences, Kyoto University数研
NAB||1||4(2)200021319629
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Hokkaido University, Library, Graduate School of Science, Faculty of Science and School of Science数学
/N 1122080257593,
: [pbk]/N 1122080420204 -
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Note
Includes bibliographical references (p. 401-405) and index
Description and Table of Contents
Description
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.
Table of Contents
Preface.- Acknowledgements.- Geometrical Background.- Physical Motivation.- Frame Bundles and Spacetime.- Differential Forms and Integration Introduction.- de Rham Cohomology Introduction.- Characteristic Classes.- Appendix.- References.- Symbols.- Index.
by "Nielsen BookData"