We define suitable Sobolev topologies on the space of connections of bounded geometry and finite Yang-Mills action and the gauge group and show that the corresponding configuration space is a stratified space. The underlying open manifold is assumed to have bounded geometry.
@article{bwmeta1.element.bwnjournal-article-bcpv39z1p269bwm,
author = {Eichhorn, J\"urgen and Heber, Gerd},
title = {The configuration space of gauge theory on open manifolds of bounded geometry},
journal = {Banach Center Publications},
volume = {38},
year = {1997},
pages = {269-286},
zbl = {0890.58002},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-bcpv39z1p269bwm}
}
Eichhorn, Jürgen; Heber, Gerd. The configuration space of gauge theory on open manifolds of bounded geometry. Banach Center Publications, Tome 38 (1997) pp. 269-286. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-bcpv39z1p269bwm/
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