Principal bundles, groupoids, and connections

Anders Kock

Banach Center Publications (2007)

  • Volume: 76, Issue: 1, page 185-200
  • ISSN: 0137-6934

Abstract

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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.

How to cite

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Anders Kock. "Principal bundles, groupoids, and connections." Banach Center Publications 76.1 (2007): 185-200. <http://eudml.org/doc/282251>.

@article{AndersKock2007,
abstract = {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.},
author = {Anders Kock},
journal = {Banach Center Publications},
keywords = {principal bundle; groupoid, connection; Ehresmann functor; synthetic differential geometry; pregroupoid},
language = {eng},
number = {1},
pages = {185-200},
title = {Principal bundles, groupoids, and connections},
url = {http://eudml.org/doc/282251},
volume = {76},
year = {2007},
}

TY - JOUR
AU - Anders Kock
TI - Principal bundles, groupoids, and connections
JO - Banach Center Publications
PY - 2007
VL - 76
IS - 1
SP - 185
EP - 200
AB - 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.
LA - eng
KW - principal bundle; groupoid, connection; Ehresmann functor; synthetic differential geometry; pregroupoid
UR - http://eudml.org/doc/282251
ER -

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