The configuration space of gauge theory on open manifolds of bounded geometry

Volume 39 / 1997

Jürgen Eichhorn, Gerd Heber Banach Center Publications 39 (1997), 269-286 DOI: 10.4064/-39-1-269-286


We define suitable Sobolev topologies on the space ${\cal C}_P(B_k,f)$ 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.


  • Jürgen Eichhorn
  • Gerd Heber

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