Connections on the path bundle of a principal fiber bundle

DOI10.1016/0926-2245(94)00014-XzbMath0808.58012WikidataQ115362632 ScholiaQ115362632MaRDI QIDQ1339908

Ronald O. Fulp

Publication date: 22 March 1995

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

zbMATH Keywords

path spaceconnectionsgauge fieldsloop spaceFréchet manifoldschiral Yang-Mills equations

Mathematics Subject Classification ID

Applications of global differential geometry to the sciences (53C80) Connections (general theory) (53C05) Manifolds of mappings (58D15)

Related Items (1)

Thin homotopy and the holonomy approach to gauge theories

Cites Work

• A Poincaré lemma for connection forms
• Yang-Mills equations on the two-dimensional sphere
• Product integration of measures and applications
• Group of loops, holonomy maps, path bundle and path connection
• Integral Formalism for Gauge Fields
• Morse Theory. (AM-51)
• The inverse function theorem of Nash and Moser
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