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Principal Bundles The Classical Case /

This introductory graduate level text provides a relatively quick path to a special topic in classical differential geometry: principal bundles.  While the topic of principal bundles in differential geometry has become classic, even standard, material in the modern graduate mathematics curriculum, t...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Sontz, Stephen Bruce (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cham : Springer International Publishing : Imprint: Springer, 2015.
Edición:1st ed. 2015.
Colección:Universitext,
Temas:
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • Introduction
  • Basics of Manifolds
  • Vector Bundles
  • Vectors and Covectors
  • Differential Forms
  • Lie Derivatives
  • Lie Groups
  • Frobenius Theorem
  • Principle Bundles
  • Connections on Principle Bundles
  • Curvature of a Connection
  • Classical Electromagnetism
  • Yang-Mills Theory
  • Gauge Theory
  • The Dirac Monopole
  • Instantons
  • What Next?
  • Discussion of the Exercises.