Finite-dimensional subbundles of loop bundles

Andrew Stacey

Vol. 219 (2005), No. 1, 187–199

DOI: 10.2140/pjm.2005.219.187

Abstract

We consider vector bundles with fibre 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 finite-dimensional subbundles of the original vector bundle.

Keywords

loop bundles

Mathematical Subject Classification 2000

Primary: 58D15, 58B25

Milestones

Received: 13 May 2003

Published: 1 March 2005