Differential characters / Christian Bär, Christian Becker

Auteur principal : Bär, Christian, 1962-, AuteurCo-auteur : Becker, Christian, 1975-, AuteurType de document : MonographieCollection : Lecture notes in mathematics, 2112Langue : anglais.Pays: Swisse.Éditeur : Cham : Springer, 2014Description : 1 vol. (VIII-187 p.) ; 24 cmISBN: 9783319070339.ISSN: 0075-8434.Bibliographie : Bibliogr. p. 179-180. Index.Sujet MSC : 58-02, Research exposition (monographs, survey articles) pertaining to global analysis
58J28, Global analysis, analysis on manifolds - PDEs on manifolds; differential operators, Eta-invariants, Chern-Simons invariants
55N20, Homology and cohomology theories in algebraic topology, Generalized (extraordinary) homology and cohomology theories
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Providing a systematic introduction to differential characters as introduced by Cheeger and Simons, this text describes important concepts such as fiber integration, higher dimensional holonomy, transgression, and the product structure in a geometric manner. Differential characters form a model of what is nowadays called differential cohomology, which is the mathematical structure behind the higher gauge theories in physics. (éditeur)

Bibliogr. p. 179-180. Index

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