Principal bundles, groupoids, and connections

• Autorzy: Anders Kock
• Języki publikacji: EN

Abstrakty

EN

We clarify in which precise sense the theory of principal bundles and the theory of groupoids are equivalent; and how this equivalence of theories, in the differentiable case, reflects itself in the theory of connections. The method used is that of synthetic differential geometry.

Kategorie tematyczne

• 53C05: Connections, general theory
• 20L05: Groupoids (i.e. small categories in which all morphisms are isomorphisms)
• 58H05: Pseudogroups and differentiable groupoids
• 51K10: Synthetic differential geometry

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2007
• Tom: 76
• Numer: 1
• Strony: 185-200

Daty

wydano

2007

Twórcy

autor

Anders Kock

• Department of Mathematical Sciences, University of Aarhus, DK 8000 Aarhus C, Denmark

Identyfikatory

DOI

10.4064/bc76-0-8