Modern Differential Geometry in Gauge Theories

Maxwell Fields, Volume I

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Éditeur :

Birkhäuser


Paru le : 2006-07-27



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Description
Differential geometry, in the classical sense, is developed through the theory of smooth manifolds. Modern differential geometry from the author’s perspective is used in this work to describe physical theories of a geometric character without using any notion of calculus (smoothness). Instead, an axiomatic treatment of differential geometry is presented via sheaf theory (geometry) and sheaf cohomology (analysis). Using vector sheaves, in place of bundles, based on arbitrary topological spaces, this unique approach in general furthers new perspectives and calculations that generate unexpected potential applications. Modern Differential Geometry in Gauge Theories is a two-volume research monograph that systematically applies a sheaf-theoretic approach to such physical theories as gauge theory. Beginning with Volume 1, the focus is on Maxwell fields. Continuing in Volume 2, this sheaf-theoretic approach is applied to Yang–Mills fields in general. Thetext contains a wealth of detailed and rigorous computations and will appeal to mathematicians and physicists, along with advanced undergraduate and graduate students, interested in applications of differential geometry to physical theories such as general relativity, elementary particle physics and quantum gravity.
Pages
293 pages
Collection
n.c
Parution
2006-07-27
Marque
Birkhäuser
EAN papier
9780817643782
EAN PDF
9780817644741

Informations sur l'ebook
Nombre pages copiables
2
Nombre pages imprimables
29
Taille du fichier
1444 Ko
Prix
94,94 €

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