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AuthorSchwarz, Albert S. author
TitleTopology for Physicists [electronic resource] / by Albert S. Schwarz
ImprintBerlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1994
Connect tohttp://dx.doi.org/10.1007/978-3-662-02998-5
Descript XI, 296 p. online resource

SUMMARY

"This volume, written by someone who has made many significant contributions to mathematical physics, not least to the present dialogue between mathematicians and physicists, aims to present some of the basic material in algebraic topology at the level of a fairly sophisticated theoretical physics graduate student. The most important topics, covering spaces, homotopy and homology theory, degree theory fibrations and a little about Lie groups are treated at a brisk pace and informal level. Personally I found the style congenial.(...) extremely useful as background or supplementary material for a graduate course on geometry and physics and would also be useful to those contemplating giving such a course. (...)" Contemporary Physics, A. Schwarz GL 308


CONTENT

0 Background -- 1 Fundamental Concepts -- 2 The Degree of a Map -- 3 The Fundamental Group and Covering Spaces -- 4 Manifolds -- 5 Differential Forms and Homology in Euclidean Space -- 6 Homology and Cohomology -- 7 Homotopy Classification of Maps of the Sphere -- 8 Homotopy Groups -- 9 Fibered Spaces -- 10 Fibrations and Homotopy Groups -- 11 Homotopy Theory of Fibrations -- 12 Lie Groups -- 13 Lie Algebras -- 14 Topology of Lie Groups and Homogeneous Manifolds -- 15 Geometry of Gauge Fields -- Index of Notation


Mathematics Manifolds (Mathematics) Complex manifolds Quantum physics Quantum computers Spintronics Mathematics Manifolds and Cell Complexes (incl. Diff.Topology) Quantum Information Technology Spintronics Quantum Physics



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