Instantons and framed sheaves on K\"ahler Deligne-Mumford stacks
  We provide stacky generalizations of classical gauge-theoretic results inspired by Donaldson, the Uhlenbeck-Yau theorem and variants due to Bando and his collaborators. Moreover, we show an application of this machinery in the study of ALE spaces. 
Philippe Eyssidieux (IF), Francesco Sala (IHES)
math.AG