Finite-dimensional subbundles of loop bundles

• Autores: Andrew Nancey
• Localización: Pacific journal of mathematics, ISSN 0030-8730, Vol. 219, Nº 1, 2005, págs. 187-199
• Idioma: inglés
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• Resumen

  • We consider vector bundles with ?bre a loop space and structure group a loop group. We determine necessary and sufficient conditions for the structure group to reduce to the group of constant loops in terms of the existence of certain ?nite-dimensional subbundles of the original vector bundle.