Uhlenbeck compactification as a functor
arXiv:1402.5685
Abstract
We give a definition of a functor compactifying the functor of bundles on a surfaces. Earlier different authors have defined similar spaces as either images under a morphism or a quotient by an equivalence relation. We use the technique of multiplicative functors to explain what kind of objects are parameterized by the points of this compactification.
to appear in IMRN